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Finding the Fourth Proportional to 67,672.81, 101,442.25 and 32,071.56

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Solution

The fourth proportional to 67,672.81, 101,442.25 and 32,071.56 is: 48,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,672.81 : 101,442.25 = 32,071.56 : x
  2. Step 2: Convert to fraction form
    67,672.81/101,442.25 = 32,071.56/x
  3. Step 3: Cross multiply
    67,672.81x = 101,442.25 × 32,071.56
  4. Step 4: Simplify right side
    67,672.81x = 3,253,411,207.41
  5. Step 5: Solve for x
    x = 3,253,411,207.41/67,672.81
  6. Step 6: Final answer
    x = 48,075.60

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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.