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Finding the Fourth Proportional to 55,854.94, 83,788.56 and 16,415.13

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Solution

The fourth proportional to 55,854.94, 83,788.56 and 16,415.13 is: 24,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.94 : 83,788.56 = 16,415.13 : x
  2. Step 2: Convert to fraction form
    55,854.94/83,788.56 = 16,415.13/x
  3. Step 3: Cross multiply
    55,854.94x = 83,788.56 × 16,415.13
  4. Step 4: Simplify right side
    55,854.94x = 1,375,400,104.91
  5. Step 5: Solve for x
    x = 1,375,400,104.91/55,854.94
  6. Step 6: Final answer
    x = 24,624.50

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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.