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Finding the Fourth Proportional to 102,034.68, 153,116.82 and 39,705.72

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Solution

The fourth proportional to 102,034.68, 153,116.82 and 39,705.72 is: 59,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.68 : 153,116.82 = 39,705.72 : x
  2. Step 2: Convert to fraction form
    102,034.68/153,116.82 = 39,705.72/x
  3. Step 3: Cross multiply
    102,034.68x = 153,116.82 × 39,705.72
  4. Step 4: Simplify right side
    102,034.68x = 6,079,613,582.21
  5. Step 5: Solve for x
    x = 6,079,613,582.21/102,034.68
  6. Step 6: Final answer
    x = 59,583.80

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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.