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Finding the Fourth Proportional to 56,738.68, 78,294.54 and 31,590.52

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Solution

The fourth proportional to 56,738.68, 78,294.54 and 31,590.52 is: 43,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738.68 : 78,294.54 = 31,590.52 : x
  2. Step 2: Convert to fraction form
    56,738.68/78,294.54 = 31,590.52/x
  3. Step 3: Cross multiply
    56,738.68x = 78,294.54 × 31,590.52
  4. Step 4: Simplify right side
    56,738.68x = 2,473,365,231.76
  5. Step 5: Solve for x
    x = 2,473,365,231.76/56,738.68
  6. Step 6: Final answer
    x = 43,592.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.