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Finding the Fourth Proportional to 102,430.49, 153,693.27 and 39,229.65

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Solution

The fourth proportional to 102,430.49, 153,693.27 and 39,229.65 is: 58,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,430.49 : 153,693.27 = 39,229.65 : x
  2. Step 2: Convert to fraction form
    102,430.49/153,693.27 = 39,229.65/x
  3. Step 3: Cross multiply
    102,430.49x = 153,693.27 × 39,229.65
  4. Step 4: Simplify right side
    102,430.49x = 6,029,333,189.46
  5. Step 5: Solve for x
    x = 6,029,333,189.46/102,430.49
  6. Step 6: Final answer
    x = 58,862.68

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