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Finding the Fourth Proportional to 32,084.67, 48,133.88 and 9,597.11

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Solution

The fourth proportional to 32,084.67, 48,133.88 and 9,597.11 is: 14,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.67 : 48,133.88 = 9,597.11 : x
  2. Step 2: Convert to fraction form
    32,084.67/48,133.88 = 9,597.11/x
  3. Step 3: Cross multiply
    32,084.67x = 48,133.88 × 9,597.11
  4. Step 4: Simplify right side
    32,084.67x = 461,946,093.10
  5. Step 5: Solve for x
    x = 461,946,093.10/32,084.67
  6. Step 6: Final answer
    x = 14,397.72

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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.