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Finding the Fourth Proportional to 71,303.68, 107,149.38 and 38,047.24

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Solution

The fourth proportional to 71,303.68, 107,149.38 and 38,047.24 is: 57,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,303.68 : 107,149.38 = 38,047.24 : x
  2. Step 2: Convert to fraction form
    71,303.68/107,149.38 = 38,047.24/x
  3. Step 3: Cross multiply
    71,303.68x = 107,149.38 × 38,047.24
  4. Step 4: Simplify right side
    71,303.68x = 4,076,738,176.71
  5. Step 5: Solve for x
    x = 4,076,738,176.71/71,303.68
  6. Step 6: Final answer
    x = 57,174.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.