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Finding the Fourth Proportional to 56,234.12, 77,600.04 and 31,082

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Solution

The fourth proportional to 56,234.12, 77,600.04 and 31,082 is: 42,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,234.12 : 77,600.04 = 31,082 : x
  2. Step 2: Convert to fraction form
    56,234.12/77,600.04 = 31,082/x
  3. Step 3: Cross multiply
    56,234.12x = 77,600.04 × 31,082
  4. Step 4: Simplify right side
    56,234.12x = 2,411,964,443.28
  5. Step 5: Solve for x
    x = 2,411,964,443.28/56,234.12
  6. Step 6: Final answer
    x = 42,891.48

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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.