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Finding the Fourth Proportional to 83,593.23, 115,358.64 and 47,784

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Solution

The fourth proportional to 83,593.23, 115,358.64 and 47,784 is: 65,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,593.23 : 115,358.64 = 47,784 : x
  2. Step 2: Convert to fraction form
    83,593.23/115,358.64 = 47,784/x
  3. Step 3: Cross multiply
    83,593.23x = 115,358.64 × 47,784
  4. Step 4: Simplify right side
    83,593.23x = 5,512,297,253.76
  5. Step 5: Solve for x
    x = 5,512,297,253.76/83,593.23
  6. Step 6: Final answer
    x = 65,941.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.