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Finding the Fourth Proportional to 56,493.36, 77,959.80 and 31,342.32

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Solution

The fourth proportional to 56,493.36, 77,959.80 and 31,342.32 is: 43,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.36 : 77,959.80 = 31,342.32 : x
  2. Step 2: Convert to fraction form
    56,493.36/77,959.80 = 31,342.32/x
  3. Step 3: Cross multiply
    56,493.36x = 77,959.80 × 31,342.32
  4. Step 4: Simplify right side
    56,493.36x = 2,443,440,998.74
  5. Step 5: Solve for x
    x = 2,443,440,998.74/56,493.36
  6. Step 6: Final answer
    x = 43,251.83

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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.