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Finding the Fourth Proportional to 57,901.52, 86,824.53 and 28,284.68

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Solution

The fourth proportional to 57,901.52, 86,824.53 and 28,284.68 is: 42,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,901.52 : 86,824.53 = 28,284.68 : x
  2. Step 2: Convert to fraction form
    57,901.52/86,824.53 = 28,284.68/x
  3. Step 3: Cross multiply
    57,901.52x = 86,824.53 × 28,284.68
  4. Step 4: Simplify right side
    57,901.52x = 2,455,803,613.08
  5. Step 5: Solve for x
    x = 2,455,803,613.08/57,901.52
  6. Step 6: Final answer
    x = 42,413.46

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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.