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Finding the Fourth Proportional to 32,465.55, 48,700.17 and 9,093.81

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Solution

The fourth proportional to 32,465.55, 48,700.17 and 9,093.81 is: 13,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.55 : 48,700.17 = 9,093.81 : x
  2. Step 2: Convert to fraction form
    32,465.55/48,700.17 = 9,093.81/x
  3. Step 3: Cross multiply
    32,465.55x = 48,700.17 × 9,093.81
  4. Step 4: Simplify right side
    32,465.55x = 442,870,092.95
  5. Step 5: Solve for x
    x = 442,870,092.95/32,465.55
  6. Step 6: Final answer
    x = 13,641.23

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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.