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Finding the Fourth Proportional to 52,000.95, 71,761.23 and 28,127.64

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Solution

The fourth proportional to 52,000.95, 71,761.23 and 28,127.64 is: 38,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000.95 : 71,761.23 = 28,127.64 : x
  2. Step 2: Convert to fraction form
    52,000.95/71,761.23 = 28,127.64/x
  3. Step 3: Cross multiply
    52,000.95x = 71,761.23 × 28,127.64
  4. Step 4: Simplify right side
    52,000.95x = 2,018,474,043.40
  5. Step 5: Solve for x
    x = 2,018,474,043.40/52,000.95
  6. Step 6: Final answer
    x = 38,816.10

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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.