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Finding the Fourth Proportional to 82,810.28, 124,220.28 and 23,641.40

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Solution

The fourth proportional to 82,810.28, 124,220.28 and 23,641.40 is: 35,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,810.28 : 124,220.28 = 23,641.40 : x
  2. Step 2: Convert to fraction form
    82,810.28/124,220.28 = 23,641.40/x
  3. Step 3: Cross multiply
    82,810.28x = 124,220.28 × 23,641.40
  4. Step 4: Simplify right side
    82,810.28x = 2,936,741,327.59
  5. Step 5: Solve for x
    x = 2,936,741,327.59/82,810.28
  6. Step 6: Final answer
    x = 35,463.49

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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.