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Finding the Fourth Proportional to 56,526.86, 78,003.16 and 31,374.38

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Solution

The fourth proportional to 56,526.86, 78,003.16 and 31,374.38 is: 43,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,526.86 : 78,003.16 = 31,374.38 : x
  2. Step 2: Convert to fraction form
    56,526.86/78,003.16 = 31,374.38/x
  3. Step 3: Cross multiply
    56,526.86x = 78,003.16 × 31,374.38
  4. Step 4: Simplify right side
    56,526.86x = 2,447,300,314.59
  5. Step 5: Solve for x
    x = 2,447,300,314.59/56,526.86
  6. Step 6: Final answer
    x = 43,294.47

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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.