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Finding the Fourth Proportional to 52,423.24, 71,937.17 and 47,671.24

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Solution

The fourth proportional to 52,423.24, 71,937.17 and 47,671.24 is: 65,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,423.24 : 71,937.17 = 47,671.24 : x
  2. Step 2: Convert to fraction form
    52,423.24/71,937.17 = 47,671.24/x
  3. Step 3: Cross multiply
    52,423.24x = 71,937.17 × 47,671.24
  4. Step 4: Simplify right side
    52,423.24x = 3,429,334,095.99
  5. Step 5: Solve for x
    x = 3,429,334,095.99/52,423.24
  6. Step 6: Final answer
    x = 65,416.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.