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Finding the Fourth Proportional to 57,702.60, 86,501.66 and 22,632.84

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Solution

The fourth proportional to 57,702.60, 86,501.66 and 22,632.84 is: 33,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,702.60 : 86,501.66 = 22,632.84 : x
  2. Step 2: Convert to fraction form
    57,702.60/86,501.66 = 22,632.84/x
  3. Step 3: Cross multiply
    57,702.60x = 86,501.66 × 22,632.84
  4. Step 4: Simplify right side
    57,702.60x = 1,957,778,117.35
  5. Step 5: Solve for x
    x = 1,957,778,117.35/57,702.60
  6. Step 6: Final answer
    x = 33,928.77

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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.