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Finding the Fourth Proportional to 100,041.24, 150,038.10 and 29,901.72

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Solution

The fourth proportional to 100,041.24, 150,038.10 and 29,901.72 is: 44,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.24 : 150,038.10 = 29,901.72 : x
  2. Step 2: Convert to fraction form
    100,041.24/150,038.10 = 29,901.72/x
  3. Step 3: Cross multiply
    100,041.24x = 150,038.10 × 29,901.72
  4. Step 4: Simplify right side
    100,041.24x = 4,486,397,255.53
  5. Step 5: Solve for x
    x = 4,486,397,255.53/100,041.24
  6. Step 6: Final answer
    x = 44,845.48

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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.