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Finding the Fourth Proportional to 56,165.28, 77,508.10 and 31,014.76

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Solution

The fourth proportional to 56,165.28, 77,508.10 and 31,014.76 is: 42,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,165.28 : 77,508.10 = 31,014.76 : x
  2. Step 2: Convert to fraction form
    56,165.28/77,508.10 = 31,014.76/x
  3. Step 3: Cross multiply
    56,165.28x = 77,508.10 × 31,014.76
  4. Step 4: Simplify right side
    56,165.28x = 2,403,895,119.56
  5. Step 5: Solve for x
    x = 2,403,895,119.56/56,165.28
  6. Step 6: Final answer
    x = 42,800.38

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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.