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Finding the Fourth Proportional to 56,358.38, 77,774.58 and 31,207.88

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Solution

The fourth proportional to 56,358.38, 77,774.58 and 31,207.88 is: 43,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358.38 : 77,774.58 = 31,207.88 : x
  2. Step 2: Convert to fraction form
    56,358.38/77,774.58 = 31,207.88/x
  3. Step 3: Cross multiply
    56,358.38x = 77,774.58 × 31,207.88
  4. Step 4: Simplify right side
    56,358.38x = 2,427,179,370.82
  5. Step 5: Solve for x
    x = 2,427,179,370.82/56,358.38
  6. Step 6: Final answer
    x = 43,066.88

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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.