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Finding the Fourth Proportional to 98,030.50, 147,045.75 and 24,158.50

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Solution

The fourth proportional to 98,030.50, 147,045.75 and 24,158.50 is: 36,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,030.50 : 147,045.75 = 24,158.50 : x
  2. Step 2: Convert to fraction form
    98,030.50/147,045.75 = 24,158.50/x
  3. Step 3: Cross multiply
    98,030.50x = 147,045.75 × 24,158.50
  4. Step 4: Simplify right side
    98,030.50x = 3,552,404,751.38
  5. Step 5: Solve for x
    x = 3,552,404,751.38/98,030.50
  6. Step 6: Final answer
    x = 36,237.75

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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.