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Finding the Fourth Proportional to 55,862.46, 83,798.82 and 17,917.20

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Solution

The fourth proportional to 55,862.46, 83,798.82 and 17,917.20 is: 26,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,862.46 : 83,798.82 = 17,917.20 : x
  2. Step 2: Convert to fraction form
    55,862.46/83,798.82 = 17,917.20/x
  3. Step 3: Cross multiply
    55,862.46x = 83,798.82 × 17,917.20
  4. Step 4: Simplify right side
    55,862.46x = 1,501,440,217.70
  5. Step 5: Solve for x
    x = 1,501,440,217.70/55,862.46
  6. Step 6: Final answer
    x = 26,877.45

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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.