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Finding the Fourth Proportional to 38,332, 57,497.92 and 12,038.76

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Solution

The fourth proportional to 38,332, 57,497.92 and 12,038.76 is: 18,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,332 : 57,497.92 = 12,038.76 : x
  2. Step 2: Convert to fraction form
    38,332/57,497.92 = 12,038.76/x
  3. Step 3: Cross multiply
    38,332x = 57,497.92 × 12,038.76
  4. Step 4: Simplify right side
    38,332x = 692,203,659.38
  5. Step 5: Solve for x
    x = 692,203,659.38/38,332
  6. Step 6: Final answer
    x = 18,058.11

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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.