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Finding the Fourth Proportional to 82,702.20, 124,058 and 23,533.19

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Solution

The fourth proportional to 82,702.20, 124,058 and 23,533.19 is: 35,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,702.20 : 124,058 = 23,533.19 : x
  2. Step 2: Convert to fraction form
    82,702.20/124,058 = 23,533.19/x
  3. Step 3: Cross multiply
    82,702.20x = 124,058 × 23,533.19
  4. Step 4: Simplify right side
    82,702.20x = 2,919,480,485.02
  5. Step 5: Solve for x
    x = 2,919,480,485.02/82,702.20
  6. Step 6: Final answer
    x = 35,301.12

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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.