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Finding the Fourth Proportional to 32,462.74, 48,701.40 and 10,277.46

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Solution

The fourth proportional to 32,462.74, 48,701.40 and 10,277.46 is: 15,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.74 : 48,701.40 = 10,277.46 : x
  2. Step 2: Convert to fraction form
    32,462.74/48,701.40 = 10,277.46/x
  3. Step 3: Cross multiply
    32,462.74x = 48,701.40 × 10,277.46
  4. Step 4: Simplify right side
    32,462.74x = 500,526,690.44
  5. Step 5: Solve for x
    x = 500,526,690.44/32,462.74
  6. Step 6: Final answer
    x = 15,418.50

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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.