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Finding the Fourth Proportional to 56,493.16, 77,959.78 and 31,342.76

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Solution

The fourth proportional to 56,493.16, 77,959.78 and 31,342.76 is: 43,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.16 : 77,959.78 = 31,342.76 : x
  2. Step 2: Convert to fraction form
    56,493.16/77,959.78 = 31,342.76/x
  3. Step 3: Cross multiply
    56,493.16x = 77,959.78 × 31,342.76
  4. Step 4: Simplify right side
    56,493.16x = 2,443,474,674.19
  5. Step 5: Solve for x
    x = 2,443,474,674.19/56,493.16
  6. Step 6: Final answer
    x = 43,252.58

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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.