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Finding the Fourth Proportional to 55,877.58, 77,112 and 32,006.34

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Solution

The fourth proportional to 55,877.58, 77,112 and 32,006.34 is: 44,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,877.58 : 77,112 = 32,006.34 : x
  2. Step 2: Convert to fraction form
    55,877.58/77,112 = 32,006.34/x
  3. Step 3: Cross multiply
    55,877.58x = 77,112 × 32,006.34
  4. Step 4: Simplify right side
    55,877.58x = 2,468,072,890.08
  5. Step 5: Solve for x
    x = 2,468,072,890.08/55,877.58
  6. Step 6: Final answer
    x = 44,169.29

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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.