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Finding the Fourth Proportional to 32,147.38, 48,228.78 and 13,417

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Solution

The fourth proportional to 32,147.38, 48,228.78 and 13,417 is: 20,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.38 : 48,228.78 = 13,417 : x
  2. Step 2: Convert to fraction form
    32,147.38/48,228.78 = 13,417/x
  3. Step 3: Cross multiply
    32,147.38x = 48,228.78 × 13,417
  4. Step 4: Simplify right side
    32,147.38x = 647,085,541.26
  5. Step 5: Solve for x
    x = 647,085,541.26/32,147.38
  6. Step 6: Final answer
    x = 20,128.72

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1.5x scale

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.