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Finding the Fourth Proportional to 98,089.50, 147,134.25 and 24,217.50

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Solution

The fourth proportional to 98,089.50, 147,134.25 and 24,217.50 is: 36,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,089.50 : 147,134.25 = 24,217.50 : x
  2. Step 2: Convert to fraction form
    98,089.50/147,134.25 = 24,217.50/x
  3. Step 3: Cross multiply
    98,089.50x = 147,134.25 × 24,217.50
  4. Step 4: Simplify right side
    98,089.50x = 3,563,223,699.38
  5. Step 5: Solve for x
    x = 3,563,223,699.38/98,089.50
  6. Step 6: Final answer
    x = 36,326.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.