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Finding the Fourth Proportional to 85,942.87, 118,598.90 and 47,702.32

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Solution

The fourth proportional to 85,942.87, 118,598.90 and 47,702.32 is: 65,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,942.87 : 118,598.90 = 47,702.32 : x
  2. Step 2: Convert to fraction form
    85,942.87/118,598.90 = 47,702.32/x
  3. Step 3: Cross multiply
    85,942.87x = 118,598.90 × 47,702.32
  4. Step 4: Simplify right side
    85,942.87x = 5,657,442,711.86
  5. Step 5: Solve for x
    x = 5,657,442,711.86/85,942.87
  6. Step 6: Final answer
    x = 65,827.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.