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Finding the Fourth Proportional to 56,781.84, 78,357.36 and 31,288.32

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Solution

The fourth proportional to 56,781.84, 78,357.36 and 31,288.32 is: 43,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781.84 : 78,357.36 = 31,288.32 : x
  2. Step 2: Convert to fraction form
    56,781.84/78,357.36 = 31,288.32/x
  3. Step 3: Cross multiply
    56,781.84x = 78,357.36 × 31,288.32
  4. Step 4: Simplify right side
    56,781.84x = 2,451,670,154.04
  5. Step 5: Solve for x
    x = 2,451,670,154.04/56,781.84
  6. Step 6: Final answer
    x = 43,177.01

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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.