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Finding the Fourth Proportional to 60,343.12, 83,271.90 and 35,191

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Solution

The fourth proportional to 60,343.12, 83,271.90 and 35,191 is: 48,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,343.12 : 83,271.90 = 35,191 : x
  2. Step 2: Convert to fraction form
    60,343.12/83,271.90 = 35,191/x
  3. Step 3: Cross multiply
    60,343.12x = 83,271.90 × 35,191
  4. Step 4: Simplify right side
    60,343.12x = 2,930,421,432.90
  5. Step 5: Solve for x
    x = 2,930,421,432.90/60,343.12
  6. Step 6: Final answer
    x = 48,562.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.