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Finding the Fourth Proportional to 56,781, 78,357.78 and 31,632.12

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Solution

The fourth proportional to 56,781, 78,357.78 and 31,632.12 is: 43,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781 : 78,357.78 = 31,632.12 : x
  2. Step 2: Convert to fraction form
    56,781/78,357.78 = 31,632.12/x
  3. Step 3: Cross multiply
    56,781x = 78,357.78 × 31,632.12
  4. Step 4: Simplify right side
    56,781x = 2,478,622,699.89
  5. Step 5: Solve for x
    x = 2,478,622,699.89/56,781
  6. Step 6: Final answer
    x = 43,652.33

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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.