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Finding the Fourth Proportional to 117,664, 176,500.15 and 37,691.57

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Solution

The fourth proportional to 117,664, 176,500.15 and 37,691.57 is: 56,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,664 : 176,500.15 = 37,691.57 : x
  2. Step 2: Convert to fraction form
    117,664/176,500.15 = 37,691.57/x
  3. Step 3: Cross multiply
    117,664x = 176,500.15 × 37,691.57
  4. Step 4: Simplify right side
    117,664x = 6,652,567,758.74
  5. Step 5: Solve for x
    x = 6,652,567,758.74/117,664
  6. Step 6: Final answer
    x = 56,538.68

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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.