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Finding the Fourth Proportional to 83,251.53, 114,931.58 and 56,066.58

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Solution

The fourth proportional to 83,251.53, 114,931.58 and 56,066.58 is: 77,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,251.53 : 114,931.58 = 56,066.58 : x
  2. Step 2: Convert to fraction form
    83,251.53/114,931.58 = 56,066.58/x
  3. Step 3: Cross multiply
    83,251.53x = 114,931.58 × 56,066.58
  4. Step 4: Simplify right side
    83,251.53x = 6,443,820,344.26
  5. Step 5: Solve for x
    x = 6,443,820,344.26/83,251.53
  6. Step 6: Final answer
    x = 77,401.82

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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.