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Finding the Fourth Proportional to 71,051.13, 106,484.42 and 28,882.13

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Solution

The fourth proportional to 71,051.13, 106,484.42 and 28,882.13 is: 43,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,051.13 : 106,484.42 = 28,882.13 : x
  2. Step 2: Convert to fraction form
    71,051.13/106,484.42 = 28,882.13/x
  3. Step 3: Cross multiply
    71,051.13x = 106,484.42 × 28,882.13
  4. Step 4: Simplify right side
    71,051.13x = 3,075,496,401.20
  5. Step 5: Solve for x
    x = 3,075,496,401.20/71,051.13
  6. Step 6: Final answer
    x = 43,285.68

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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.