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Finding the Fourth Proportional to 117,702.42, 176,553.54 and 47,581.74

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Solution

The fourth proportional to 117,702.42, 176,553.54 and 47,581.74 is: 71,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702.42 : 176,553.54 = 47,581.74 : x
  2. Step 2: Convert to fraction form
    117,702.42/176,553.54 = 47,581.74/x
  3. Step 3: Cross multiply
    117,702.42x = 176,553.54 × 47,581.74
  4. Step 4: Simplify right side
    117,702.42x = 8,400,724,636.36
  5. Step 5: Solve for x
    x = 8,400,724,636.36/117,702.42
  6. Step 6: Final answer
    x = 71,372.57

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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.