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Finding the Fourth Proportional to 56,483.65, 77,947.53 and 31,333.15

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Solution

The fourth proportional to 56,483.65, 77,947.53 and 31,333.15 is: 43,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,483.65 : 77,947.53 = 31,333.15 : x
  2. Step 2: Convert to fraction form
    56,483.65/77,947.53 = 31,333.15/x
  3. Step 3: Cross multiply
    56,483.65x = 77,947.53 × 31,333.15
  4. Step 4: Simplify right side
    56,483.65x = 2,442,341,103.22
  5. Step 5: Solve for x
    x = 2,442,341,103.22/56,483.65
  6. Step 6: Final answer
    x = 43,239.79

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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.