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Finding the Fourth Proportional to 71,082, 106,623.54 and 24,335.28

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Solution

The fourth proportional to 71,082, 106,623.54 and 24,335.28 is: 36,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082 : 106,623.54 = 24,335.28 : x
  2. Step 2: Convert to fraction form
    71,082/106,623.54 = 24,335.28/x
  3. Step 3: Cross multiply
    71,082x = 106,623.54 × 24,335.28
  4. Step 4: Simplify right side
    71,082x = 2,594,713,700.49
  5. Step 5: Solve for x
    x = 2,594,713,700.49/71,082
  6. Step 6: Final answer
    x = 36,503.10

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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.