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Finding the Fourth Proportional to 82,295.64, 123,232.62 and 56,960.04

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Solution

The fourth proportional to 82,295.64, 123,232.62 and 56,960.04 is: 85,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,295.64 : 123,232.62 = 56,960.04 : x
  2. Step 2: Convert to fraction form
    82,295.64/123,232.62 = 56,960.04/x
  3. Step 3: Cross multiply
    82,295.64x = 123,232.62 × 56,960.04
  4. Step 4: Simplify right side
    82,295.64x = 7,019,334,964.50
  5. Step 5: Solve for x
    x = 7,019,334,964.50/82,295.64
  6. Step 6: Final answer
    x = 85,294.13

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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.