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Finding the Fourth Proportional to 61,411.16, 92,132.84 and 19,289.54

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Solution

The fourth proportional to 61,411.16, 92,132.84 and 19,289.54 is: 28,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,411.16 : 92,132.84 = 19,289.54 : x
  2. Step 2: Convert to fraction form
    61,411.16/92,132.84 = 19,289.54/x
  3. Step 3: Cross multiply
    61,411.16x = 92,132.84 × 19,289.54
  4. Step 4: Simplify right side
    61,411.16x = 1,777,199,545.38
  5. Step 5: Solve for x
    x = 1,777,199,545.38/61,411.16
  6. Step 6: Final answer
    x = 28,939.36

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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.