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Finding the Fourth Proportional to 56,234.08, 77,600 and 31,082.08

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Solution

The fourth proportional to 56,234.08, 77,600 and 31,082.08 is: 42,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,234.08 : 77,600 = 31,082.08 : x
  2. Step 2: Convert to fraction form
    56,234.08/77,600 = 31,082.08/x
  3. Step 3: Cross multiply
    56,234.08x = 77,600 × 31,082.08
  4. Step 4: Simplify right side
    56,234.08x = 2,411,969,408
  5. Step 5: Solve for x
    x = 2,411,969,408/56,234.08
  6. Step 6: Final answer
    x = 42,891.60

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1.5x scale

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.