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Finding the Fourth Proportional to 52,000.20, 71,746.02 and 33,121.80

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Solution

The fourth proportional to 52,000.20, 71,746.02 and 33,121.80 is: 45,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000.20 : 71,746.02 = 33,121.80 : x
  2. Step 2: Convert to fraction form
    52,000.20/71,746.02 = 33,121.80/x
  3. Step 3: Cross multiply
    52,000.20x = 71,746.02 × 33,121.80
  4. Step 4: Simplify right side
    52,000.20x = 2,376,357,325.24
  5. Step 5: Solve for x
    x = 2,376,357,325.24/52,000.20
  6. Step 6: Final answer
    x = 45,699.00

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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.