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Finding the Fourth Proportional to 117,566.48, 176,348.76 and 47,444.72

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Solution

The fourth proportional to 117,566.48, 176,348.76 and 47,444.72 is: 71,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,566.48 : 176,348.76 = 47,444.72 : x
  2. Step 2: Convert to fraction form
    117,566.48/176,348.76 = 47,444.72/x
  3. Step 3: Cross multiply
    117,566.48x = 176,348.76 × 47,444.72
  4. Step 4: Simplify right side
    117,566.48x = 8,366,817,540.55
  5. Step 5: Solve for x
    x = 8,366,817,540.55/117,566.48
  6. Step 6: Final answer
    x = 71,166.69

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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.