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Finding the Fourth Proportional to 82,032.40, 123,048.60 and 54,038.80

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Solution

The fourth proportional to 82,032.40, 123,048.60 and 54,038.80 is: 81,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032.40 : 123,048.60 = 54,038.80 : x
  2. Step 2: Convert to fraction form
    82,032.40/123,048.60 = 54,038.80/x
  3. Step 3: Cross multiply
    82,032.40x = 123,048.60 × 54,038.80
  4. Step 4: Simplify right side
    82,032.40x = 6,649,398,685.68
  5. Step 5: Solve for x
    x = 6,649,398,685.68/82,032.40
  6. Step 6: Final answer
    x = 81,058.20

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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.