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Finding the Fourth Proportional to 52,244.16, 72,098.01 and 31,819.20

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Solution

The fourth proportional to 52,244.16, 72,098.01 and 31,819.20 is: 43,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,244.16 : 72,098.01 = 31,819.20 : x
  2. Step 2: Convert to fraction form
    52,244.16/72,098.01 = 31,819.20/x
  3. Step 3: Cross multiply
    52,244.16x = 72,098.01 × 31,819.20
  4. Step 4: Simplify right side
    52,244.16x = 2,294,100,999.79
  5. Step 5: Solve for x
    x = 2,294,100,999.79/52,244.16
  6. Step 6: Final answer
    x = 43,911.15

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1.5x scale

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.