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Finding the Fourth Proportional to 85,772.42, 118,366.22 and 47,532.60

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Solution

The fourth proportional to 85,772.42, 118,366.22 and 47,532.60 is: 65,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,772.42 : 118,366.22 = 47,532.60 : x
  2. Step 2: Convert to fraction form
    85,772.42/118,366.22 = 47,532.60/x
  3. Step 3: Cross multiply
    85,772.42x = 118,366.22 × 47,532.60
  4. Step 4: Simplify right side
    85,772.42x = 5,626,254,218.48
  5. Step 5: Solve for x
    x = 5,626,254,218.48/85,772.42
  6. Step 6: Final answer
    x = 65,595.14

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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.