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Finding the Fourth Proportional to 46,478.40, 69,678.54 and 32,397

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Solution

The fourth proportional to 46,478.40, 69,678.54 and 32,397 is: 48,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478.40 : 69,678.54 = 32,397 : x
  2. Step 2: Convert to fraction form
    46,478.40/69,678.54 = 32,397/x
  3. Step 3: Cross multiply
    46,478.40x = 69,678.54 × 32,397
  4. Step 4: Simplify right side
    46,478.40x = 2,257,375,660.38
  5. Step 5: Solve for x
    x = 2,257,375,660.38/46,478.40
  6. Step 6: Final answer
    x = 48,568.27

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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.