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Finding the Fourth Proportional to 74,826, 103,260.24 and 41,294.16

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Solution

The fourth proportional to 74,826, 103,260.24 and 41,294.16 is: 56,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826 : 103,260.24 = 41,294.16 : x
  2. Step 2: Convert to fraction form
    74,826/103,260.24 = 41,294.16/x
  3. Step 3: Cross multiply
    74,826x = 103,260.24 × 41,294.16
  4. Step 4: Simplify right side
    74,826x = 4,264,044,872.20
  5. Step 5: Solve for x
    x = 4,264,044,872.20/74,826
  6. Step 6: Final answer
    x = 56,986.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.