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Finding the Fourth Proportional to 56,352.42, 77,766.35 and 31,201.92

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Solution

The fourth proportional to 56,352.42, 77,766.35 and 31,201.92 is: 43,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,352.42 : 77,766.35 = 31,201.92 : x
  2. Step 2: Convert to fraction form
    56,352.42/77,766.35 = 31,201.92/x
  3. Step 3: Cross multiply
    56,352.42x = 77,766.35 × 31,201.92
  4. Step 4: Simplify right side
    56,352.42x = 2,426,459,275.38
  5. Step 5: Solve for x
    x = 2,426,459,275.38/56,352.42
  6. Step 6: Final answer
    x = 43,058.65

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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.