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Finding the Fourth Proportional to 102,324.34, 153,449.09 and 39,113.20

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Solution

The fourth proportional to 102,324.34, 153,449.09 and 39,113.20 is: 58,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,324.34 : 153,449.09 = 39,113.20 : x
  2. Step 2: Convert to fraction form
    102,324.34/153,449.09 = 39,113.20/x
  3. Step 3: Cross multiply
    102,324.34x = 153,449.09 × 39,113.20
  4. Step 4: Simplify right side
    102,324.34x = 6,001,884,946.99
  5. Step 5: Solve for x
    x = 6,001,884,946.99/102,324.34
  6. Step 6: Final answer
    x = 58,655.50

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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.