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Finding the Fourth Proportional to 55,707.88, 83,545.24 and 16,254.40

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Solution

The fourth proportional to 55,707.88, 83,545.24 and 16,254.40 is: 24,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.88 : 83,545.24 = 16,254.40 : x
  2. Step 2: Convert to fraction form
    55,707.88/83,545.24 = 16,254.40/x
  3. Step 3: Cross multiply
    55,707.88x = 83,545.24 × 16,254.40
  4. Step 4: Simplify right side
    55,707.88x = 1,357,977,749.06
  5. Step 5: Solve for x
    x = 1,357,977,749.06/55,707.88
  6. Step 6: Final answer
    x = 24,376.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.