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Finding the Fourth Proportional to 82,671.84, 112,560.84 and 82,409.40

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Solution

The fourth proportional to 82,671.84, 112,560.84 and 82,409.40 is: 112,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,671.84 : 112,560.84 = 82,409.40 : x
  2. Step 2: Convert to fraction form
    82,671.84/112,560.84 = 82,409.40/x
  3. Step 3: Cross multiply
    82,671.84x = 112,560.84 × 82,409.40
  4. Step 4: Simplify right side
    82,671.84x = 9,276,071,287.90
  5. Step 5: Solve for x
    x = 9,276,071,287.90/82,671.84
  6. Step 6: Final answer
    x = 112,203.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.