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Finding the Fourth Proportional to 82,963.62, 124,463.86 and 23,794.74

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Solution

The fourth proportional to 82,963.62, 124,463.86 and 23,794.74 is: 35,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.62 : 124,463.86 = 23,794.74 : x
  2. Step 2: Convert to fraction form
    82,963.62/124,463.86 = 23,794.74/x
  3. Step 3: Cross multiply
    82,963.62x = 124,463.86 × 23,794.74
  4. Step 4: Simplify right side
    82,963.62x = 2,961,585,128.61
  5. Step 5: Solve for x
    x = 2,961,585,128.61/82,963.62
  6. Step 6: Final answer
    x = 35,697.40

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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.