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Finding the Fourth Proportional to 74,113.86, 102,277 and 40,122.18

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Solution

The fourth proportional to 74,113.86, 102,277 and 40,122.18 is: 55,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,113.86 : 102,277 = 40,122.18 : x
  2. Step 2: Convert to fraction form
    74,113.86/102,277 = 40,122.18/x
  3. Step 3: Cross multiply
    74,113.86x = 102,277 × 40,122.18
  4. Step 4: Simplify right side
    74,113.86x = 4,103,576,203.86
  5. Step 5: Solve for x
    x = 4,103,576,203.86/74,113.86
  6. Step 6: Final answer
    x = 55,368.54

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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.