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Finding the Fourth Proportional to 32,478.51, 48,726.32 and 13,759.31

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Solution

The fourth proportional to 32,478.51, 48,726.32 and 13,759.31 is: 20,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.51 : 48,726.32 = 13,759.31 : x
  2. Step 2: Convert to fraction form
    32,478.51/48,726.32 = 13,759.31/x
  3. Step 3: Cross multiply
    32,478.51x = 48,726.32 × 13,759.31
  4. Step 4: Simplify right side
    32,478.51x = 670,440,229.61
  5. Step 5: Solve for x
    x = 670,440,229.61/32,478.51
  6. Step 6: Final answer
    x = 20,642.58

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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.