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Finding the Fourth Proportional to 117,662, 176,497.15 and 37,689.57

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Solution

The fourth proportional to 117,662, 176,497.15 and 37,689.57 is: 56,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,662 : 176,497.15 = 37,689.57 : x
  2. Step 2: Convert to fraction form
    117,662/176,497.15 = 37,689.57/x
  3. Step 3: Cross multiply
    117,662x = 176,497.15 × 37,689.57
  4. Step 4: Simplify right side
    117,662x = 6,652,101,689.73
  5. Step 5: Solve for x
    x = 6,652,101,689.73/117,662
  6. Step 6: Final answer
    x = 56,535.68

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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.