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Finding the Fourth Proportional to 32,646.96, 48,968.82 and 17,884.71

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Solution

The fourth proportional to 32,646.96, 48,968.82 and 17,884.71 is: 26,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.96 : 48,968.82 = 17,884.71 : x
  2. Step 2: Convert to fraction form
    32,646.96/48,968.82 = 17,884.71/x
  3. Step 3: Cross multiply
    32,646.96x = 48,968.82 × 17,884.71
  4. Step 4: Simplify right side
    32,646.96x = 875,793,144.74
  5. Step 5: Solve for x
    x = 875,793,144.74/32,646.96
  6. Step 6: Final answer
    x = 26,826.18

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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.