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Finding the Fourth Proportional to 75,229, 103,816.02 and 41,697.16

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Solution

The fourth proportional to 75,229, 103,816.02 and 41,697.16 is: 57,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,229 : 103,816.02 = 41,697.16 : x
  2. Step 2: Convert to fraction form
    75,229/103,816.02 = 41,697.16/x
  3. Step 3: Cross multiply
    75,229x = 103,816.02 × 41,697.16
  4. Step 4: Simplify right side
    75,229x = 4,328,833,196.50
  5. Step 5: Solve for x
    x = 4,328,833,196.50/75,229
  6. Step 6: Final answer
    x = 57,542.08

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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.