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Finding the Fourth Proportional to 77,881.80, 116,849.82 and 24,582

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Solution

The fourth proportional to 77,881.80, 116,849.82 and 24,582 is: 36,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.80 : 116,849.82 = 24,582 : x
  2. Step 2: Convert to fraction form
    77,881.80/116,849.82 = 24,582/x
  3. Step 3: Cross multiply
    77,881.80x = 116,849.82 × 24,582
  4. Step 4: Simplify right side
    77,881.80x = 2,872,402,275.24
  5. Step 5: Solve for x
    x = 2,872,402,275.24/77,881.80
  6. Step 6: Final answer
    x = 36,881.56

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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.