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Finding the Fourth Proportional to 73,988, 102,105.96 and 40,456.16

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Solution

The fourth proportional to 73,988, 102,105.96 and 40,456.16 is: 55,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,988 : 102,105.96 = 40,456.16 : x
  2. Step 2: Convert to fraction form
    73,988/102,105.96 = 40,456.16/x
  3. Step 3: Cross multiply
    73,988x = 102,105.96 × 40,456.16
  4. Step 4: Simplify right side
    73,988x = 4,130,815,054.71
  5. Step 5: Solve for x
    x = 4,130,815,054.71/73,988
  6. Step 6: Final answer
    x = 55,830.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.