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Finding the Fourth Proportional to 75,149.23, 103,703.38 and 42,885.63

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Solution

The fourth proportional to 75,149.23, 103,703.38 and 42,885.63 is: 59,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,149.23 : 103,703.38 = 42,885.63 : x
  2. Step 2: Convert to fraction form
    75,149.23/103,703.38 = 42,885.63/x
  3. Step 3: Cross multiply
    75,149.23x = 103,703.38 × 42,885.63
  4. Step 4: Simplify right side
    75,149.23x = 4,447,384,784.43
  5. Step 5: Solve for x
    x = 4,447,384,784.43/75,149.23
  6. Step 6: Final answer
    x = 59,180.71

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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.