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Finding the Fourth Proportional to 61,509.16, 84,882.90 and 34,651.99

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Solution

The fourth proportional to 61,509.16, 84,882.90 and 34,651.99 is: 47,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509.16 : 84,882.90 = 34,651.99 : x
  2. Step 2: Convert to fraction form
    61,509.16/84,882.90 = 34,651.99/x
  3. Step 3: Cross multiply
    61,509.16x = 84,882.90 × 34,651.99
  4. Step 4: Simplify right side
    61,509.16x = 2,941,361,401.97
  5. Step 5: Solve for x
    x = 2,941,361,401.97/61,509.16
  6. Step 6: Final answer
    x = 47,819.89

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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.