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Finding the Fourth Proportional to 56,377, 77,780.92 and 32,160.57

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Solution

The fourth proportional to 56,377, 77,780.92 and 32,160.57 is: 44,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,377 : 77,780.92 = 32,160.57 : x
  2. Step 2: Convert to fraction form
    56,377/77,780.92 = 32,160.57/x
  3. Step 3: Cross multiply
    56,377x = 77,780.92 × 32,160.57
  4. Step 4: Simplify right side
    56,377x = 2,501,478,722.32
  5. Step 5: Solve for x
    x = 2,501,478,722.32/56,377
  6. Step 6: Final answer
    x = 44,370.55

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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.