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Finding the Fourth Proportional to 69,210, 103,827.96 and 32,274

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Solution

The fourth proportional to 69,210, 103,827.96 and 32,274 is: 48,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210 : 103,827.96 = 32,274 : x
  2. Step 2: Convert to fraction form
    69,210/103,827.96 = 32,274/x
  3. Step 3: Cross multiply
    69,210x = 103,827.96 × 32,274
  4. Step 4: Simplify right side
    69,210x = 3,350,943,581.04
  5. Step 5: Solve for x
    x = 3,350,943,581.04/69,210
  6. Step 6: Final answer
    x = 48,417.04

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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.