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Finding the Fourth Proportional to 98,316.50, 147,475.30 and 24,444.50

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Solution

The fourth proportional to 98,316.50, 147,475.30 and 24,444.50 is: 36,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,316.50 : 147,475.30 = 24,444.50 : x
  2. Step 2: Convert to fraction form
    98,316.50/147,475.30 = 24,444.50/x
  3. Step 3: Cross multiply
    98,316.50x = 147,475.30 × 24,444.50
  4. Step 4: Simplify right side
    98,316.50x = 3,604,959,970.85
  5. Step 5: Solve for x
    x = 3,604,959,970.85/98,316.50
  6. Step 6: Final answer
    x = 36,666.89

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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.