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Finding the Fourth Proportional to 57,886.86, 86,827.65 and 24,138.95

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Solution

The fourth proportional to 57,886.86, 86,827.65 and 24,138.95 is: 36,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,886.86 : 86,827.65 = 24,138.95 : x
  2. Step 2: Convert to fraction form
    57,886.86/86,827.65 = 24,138.95/x
  3. Step 3: Cross multiply
    57,886.86x = 86,827.65 × 24,138.95
  4. Step 4: Simplify right side
    57,886.86x = 2,095,928,301.97
  5. Step 5: Solve for x
    x = 2,095,928,301.97/57,886.86
  6. Step 6: Final answer
    x = 36,207.32

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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.