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Finding the Fourth Proportional to 82,924, 124,385.31 and 23,759.72

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Solution

The fourth proportional to 82,924, 124,385.31 and 23,759.72 is: 35,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924 : 124,385.31 = 23,759.72 : x
  2. Step 2: Convert to fraction form
    82,924/124,385.31 = 23,759.72/x
  3. Step 3: Cross multiply
    82,924x = 124,385.31 × 23,759.72
  4. Step 4: Simplify right side
    82,924x = 2,955,360,137.71
  5. Step 5: Solve for x
    x = 2,955,360,137.71/82,924
  6. Step 6: Final answer
    x = 35,639.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.