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Finding the Fourth Proportional to 37,957.66, 56,931.48 and 11,660.20

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Solution

The fourth proportional to 37,957.66, 56,931.48 and 11,660.20 is: 17,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,957.66 : 56,931.48 = 11,660.20 : x
  2. Step 2: Convert to fraction form
    37,957.66/56,931.48 = 11,660.20/x
  3. Step 3: Cross multiply
    37,957.66x = 56,931.48 × 11,660.20
  4. Step 4: Simplify right side
    37,957.66x = 663,832,443.10
  5. Step 5: Solve for x
    x = 663,832,443.10/37,957.66
  6. Step 6: Final answer
    x = 17,488.76

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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.