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Finding the Fourth Proportional to 56,801.13, 78,382.01 and 31,306.07

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Solution

The fourth proportional to 56,801.13, 78,382.01 and 31,306.07 is: 43,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,801.13 : 78,382.01 = 31,306.07 : x
  2. Step 2: Convert to fraction form
    56,801.13/78,382.01 = 31,306.07/x
  3. Step 3: Cross multiply
    56,801.13x = 78,382.01 × 31,306.07
  4. Step 4: Simplify right side
    56,801.13x = 2,453,832,143.36
  5. Step 5: Solve for x
    x = 2,453,832,143.36/56,801.13
  6. Step 6: Final answer
    x = 43,200.41

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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.