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Finding the Fourth Proportional to 32,476.48, 48,649.76 and 14,922.24

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Solution

The fourth proportional to 32,476.48, 48,649.76 and 14,922.24 is: 22,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.48 : 48,649.76 = 14,922.24 : x
  2. Step 2: Convert to fraction form
    32,476.48/48,649.76 = 14,922.24/x
  3. Step 3: Cross multiply
    32,476.48x = 48,649.76 × 14,922.24
  4. Step 4: Simplify right side
    32,476.48x = 725,963,394.66
  5. Step 5: Solve for x
    x = 725,963,394.66/32,476.48
  6. Step 6: Final answer
    x = 22,353.51

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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.