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Finding the Fourth Proportional to 56,527.32, 78,010.38 and 31,377

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Solution

The fourth proportional to 56,527.32, 78,010.38 and 31,377 is: 43,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,527.32 : 78,010.38 = 31,377 : x
  2. Step 2: Convert to fraction form
    56,527.32/78,010.38 = 31,377/x
  3. Step 3: Cross multiply
    56,527.32x = 78,010.38 × 31,377
  4. Step 4: Simplify right side
    56,527.32x = 2,447,731,693.26
  5. Step 5: Solve for x
    x = 2,447,731,693.26/56,527.32
  6. Step 6: Final answer
    x = 43,301.75

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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.