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Finding the Fourth Proportional to 56,527.86, 78,004.54 and 31,375.38

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Solution

The fourth proportional to 56,527.86, 78,004.54 and 31,375.38 is: 43,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,527.86 : 78,004.54 = 31,375.38 : x
  2. Step 2: Convert to fraction form
    56,527.86/78,004.54 = 31,375.38/x
  3. Step 3: Cross multiply
    56,527.86x = 78,004.54 × 31,375.38
  4. Step 4: Simplify right side
    56,527.86x = 2,447,422,084.23
  5. Step 5: Solve for x
    x = 2,447,422,084.23/56,527.86
  6. Step 6: Final answer
    x = 43,295.86

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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.