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Finding the Fourth Proportional to 102,007.56, 153,035.94 and 35,438

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Solution

The fourth proportional to 102,007.56, 153,035.94 and 35,438 is: 53,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007.56 : 153,035.94 = 35,438 : x
  2. Step 2: Convert to fraction form
    102,007.56/153,035.94 = 35,438/x
  3. Step 3: Cross multiply
    102,007.56x = 153,035.94 × 35,438
  4. Step 4: Simplify right side
    102,007.56x = 5,423,287,641.72
  5. Step 5: Solve for x
    x = 5,423,287,641.72/102,007.56
  6. Step 6: Final answer
    x = 53,165.55

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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.