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Finding the Fourth Proportional to 32,905.78, 49,347.12 and 9,206.96

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Solution

The fourth proportional to 32,905.78, 49,347.12 and 9,206.96 is: 13,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.78 : 49,347.12 = 9,206.96 : x
  2. Step 2: Convert to fraction form
    32,905.78/49,347.12 = 9,206.96/x
  3. Step 3: Cross multiply
    32,905.78x = 49,347.12 × 9,206.96
  4. Step 4: Simplify right side
    32,905.78x = 454,336,959.96
  5. Step 5: Solve for x
    x = 454,336,959.96/32,905.78
  6. Step 6: Final answer
    x = 13,807.21

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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.