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Finding the Fourth Proportional to 82,531.78, 113,894.78 and 46,721.01

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Solution

The fourth proportional to 82,531.78, 113,894.78 and 46,721.01 is: 64,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,531.78 : 113,894.78 = 46,721.01 : x
  2. Step 2: Convert to fraction form
    82,531.78/113,894.78 = 46,721.01/x
  3. Step 3: Cross multiply
    82,531.78x = 113,894.78 × 46,721.01
  4. Step 4: Simplify right side
    82,531.78x = 5,321,279,155.33
  5. Step 5: Solve for x
    x = 5,321,279,155.33/82,531.78
  6. Step 6: Final answer
    x = 64,475.52

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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.