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Finding the Fourth Proportional to 32,466.68, 48,701.23 and 9,092.51

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Solution

The fourth proportional to 32,466.68, 48,701.23 and 9,092.51 is: 13,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.68 : 48,701.23 = 9,092.51 : x
  2. Step 2: Convert to fraction form
    32,466.68/48,701.23 = 9,092.51/x
  3. Step 3: Cross multiply
    32,466.68x = 48,701.23 × 9,092.51
  4. Step 4: Simplify right side
    32,466.68x = 442,816,154.55
  5. Step 5: Solve for x
    x = 442,816,154.55/32,466.68
  6. Step 6: Final answer
    x = 13,639.10

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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.