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Finding the Fourth Proportional to 47,966.86, 71,983.14 and 16,802.20

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Solution

The fourth proportional to 47,966.86, 71,983.14 and 16,802.20 is: 25,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,966.86 : 71,983.14 = 16,802.20 : x
  2. Step 2: Convert to fraction form
    47,966.86/71,983.14 = 16,802.20/x
  3. Step 3: Cross multiply
    47,966.86x = 71,983.14 × 16,802.20
  4. Step 4: Simplify right side
    47,966.86x = 1,209,475,114.91
  5. Step 5: Solve for x
    x = 1,209,475,114.91/47,966.86
  6. Step 6: Final answer
    x = 25,214.81

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1.5x scale

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.