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Finding the Fourth Proportional to 52,627.64, 72,626.21 and 29,966.64

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Solution

The fourth proportional to 52,627.64, 72,626.21 and 29,966.64 is: 41,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,627.64 : 72,626.21 = 29,966.64 : x
  2. Step 2: Convert to fraction form
    52,627.64/72,626.21 = 29,966.64/x
  3. Step 3: Cross multiply
    52,627.64x = 72,626.21 × 29,966.64
  4. Step 4: Simplify right side
    52,627.64x = 2,176,363,339.80
  5. Step 5: Solve for x
    x = 2,176,363,339.80/52,627.64
  6. Step 6: Final answer
    x = 41,354.00

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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.