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Finding the Fourth Proportional to 57,344.88, 86,029.28 and 28,897.83

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Solution

The fourth proportional to 57,344.88, 86,029.28 and 28,897.83 is: 43,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344.88 : 86,029.28 = 28,897.83 : x
  2. Step 2: Convert to fraction form
    57,344.88/86,029.28 = 28,897.83/x
  3. Step 3: Cross multiply
    57,344.88x = 86,029.28 × 28,897.83
  4. Step 4: Simplify right side
    57,344.88x = 2,486,059,580.71
  5. Step 5: Solve for x
    x = 2,486,059,580.71/57,344.88
  6. Step 6: Final answer
    x = 43,352.77

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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.