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Finding the Fourth Proportional to 32,968.76, 49,454.85 and 9,597.02

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Solution

The fourth proportional to 32,968.76, 49,454.85 and 9,597.02 is: 14,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968.76 : 49,454.85 = 9,597.02 : x
  2. Step 2: Convert to fraction form
    32,968.76/49,454.85 = 9,597.02/x
  3. Step 3: Cross multiply
    32,968.76x = 49,454.85 × 9,597.02
  4. Step 4: Simplify right side
    32,968.76x = 474,619,184.55
  5. Step 5: Solve for x
    x = 474,619,184.55/32,968.76
  6. Step 6: Final answer
    x = 14,396.03

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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.