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Finding the Fourth Proportional to 32,458.60, 48,693.90 and 10,277.56

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Solution

The fourth proportional to 32,458.60, 48,693.90 and 10,277.56 is: 15,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.60 : 48,693.90 = 10,277.56 : x
  2. Step 2: Convert to fraction form
    32,458.60/48,693.90 = 10,277.56/x
  3. Step 3: Cross multiply
    32,458.60x = 48,693.90 × 10,277.56
  4. Step 4: Simplify right side
    32,458.60x = 500,454,235.41
  5. Step 5: Solve for x
    x = 500,454,235.41/32,458.60
  6. Step 6: Final answer
    x = 15,418.23

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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.