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Finding the Fourth Proportional to 117,646.34, 176,502.46 and 47,574.86

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Solution

The fourth proportional to 117,646.34, 176,502.46 and 47,574.86 is: 71,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,646.34 : 176,502.46 = 47,574.86 : x
  2. Step 2: Convert to fraction form
    117,646.34/176,502.46 = 47,574.86/x
  3. Step 3: Cross multiply
    117,646.34x = 176,502.46 × 47,574.86
  4. Step 4: Simplify right side
    117,646.34x = 8,397,079,824.16
  5. Step 5: Solve for x
    x = 8,397,079,824.16/117,646.34
  6. Step 6: Final answer
    x = 71,375.61

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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.