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Finding the Fourth Proportional to 37,707, 56,569.64 and 11,410.24

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Solution

The fourth proportional to 37,707, 56,569.64 and 11,410.24 is: 17,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,707 : 56,569.64 = 11,410.24 : x
  2. Step 2: Convert to fraction form
    37,707/56,569.64 = 11,410.24/x
  3. Step 3: Cross multiply
    37,707x = 56,569.64 × 11,410.24
  4. Step 4: Simplify right side
    37,707x = 645,473,169.11
  5. Step 5: Solve for x
    x = 645,473,169.11/37,707
  6. Step 6: Final answer
    x = 17,118.13

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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.