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Finding the Fourth Proportional to 32,578.64, 48,833.76 and 13,854.32

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Solution

The fourth proportional to 32,578.64, 48,833.76 and 13,854.32 is: 20,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.64 : 48,833.76 = 13,854.32 : x
  2. Step 2: Convert to fraction form
    32,578.64/48,833.76 = 13,854.32/x
  3. Step 3: Cross multiply
    32,578.64x = 48,833.76 × 13,854.32
  4. Step 4: Simplify right side
    32,578.64x = 676,558,537.84
  5. Step 5: Solve for x
    x = 676,558,537.84/32,578.64
  6. Step 6: Final answer
    x = 20,766.94

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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.