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Finding the Fourth Proportional to 32,671.84, 45,074.16 and 21,337.76

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Solution

The fourth proportional to 32,671.84, 45,074.16 and 21,337.76 is: 29,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.84 : 45,074.16 = 21,337.76 : x
  2. Step 2: Convert to fraction form
    32,671.84/45,074.16 = 21,337.76/x
  3. Step 3: Cross multiply
    32,671.84x = 45,074.16 × 21,337.76
  4. Step 4: Simplify right side
    32,671.84x = 961,781,608.28
  5. Step 5: Solve for x
    x = 961,781,608.28/32,671.84
  6. Step 6: Final answer
    x = 29,437.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.