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Finding the Fourth Proportional to 32,680.95, 49,029.62 and 9,307.38

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Solution

The fourth proportional to 32,680.95, 49,029.62 and 9,307.38 is: 13,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.95 : 49,029.62 = 9,307.38 : x
  2. Step 2: Convert to fraction form
    32,680.95/49,029.62 = 9,307.38/x
  3. Step 3: Cross multiply
    32,680.95x = 49,029.62 × 9,307.38
  4. Step 4: Simplify right side
    32,680.95x = 456,337,304.60
  5. Step 5: Solve for x
    x = 456,337,304.60/32,680.95
  6. Step 6: Final answer
    x = 13,963.40

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