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Finding the Fourth Proportional to 56,486.52, 77,951.48 and 31,336.02

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Solution

The fourth proportional to 56,486.52, 77,951.48 and 31,336.02 is: 43,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486.52 : 77,951.48 = 31,336.02 : x
  2. Step 2: Convert to fraction form
    56,486.52/77,951.48 = 31,336.02/x
  3. Step 3: Cross multiply
    56,486.52x = 77,951.48 × 31,336.02
  4. Step 4: Simplify right side
    56,486.52x = 2,442,688,979.63
  5. Step 5: Solve for x
    x = 2,442,688,979.63/56,486.52
  6. Step 6: Final answer
    x = 43,243.75

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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.