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Finding the Fourth Proportional to 32,416, 44,734.32 and 19,849.12

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Solution

The fourth proportional to 32,416, 44,734.32 and 19,849.12 is: 27,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416 : 44,734.32 = 19,849.12 : x
  2. Step 2: Convert to fraction form
    32,416/44,734.32 = 19,849.12/x
  3. Step 3: Cross multiply
    32,416x = 44,734.32 × 19,849.12
  4. Step 4: Simplify right side
    32,416x = 887,936,885.80
  5. Step 5: Solve for x
    x = 887,936,885.80/32,416
  6. Step 6: Final answer
    x = 27,391.93

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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.