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Finding the Fourth Proportional to 55,866.24, 77,099.12 and 31,996.16

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Solution

The fourth proportional to 55,866.24, 77,099.12 and 31,996.16 is: 44,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,866.24 : 77,099.12 = 31,996.16 : x
  2. Step 2: Convert to fraction form
    55,866.24/77,099.12 = 31,996.16/x
  3. Step 3: Cross multiply
    55,866.24x = 77,099.12 × 31,996.16
  4. Step 4: Simplify right side
    55,866.24x = 2,466,875,779.38
  5. Step 5: Solve for x
    x = 2,466,875,779.38/55,866.24
  6. Step 6: Final answer
    x = 44,156.82

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Why These Related Problems?

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