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Finding the Fourth Proportional to 32,159.71, 48,235.18 and 8,465.27

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Solution

The fourth proportional to 32,159.71, 48,235.18 and 8,465.27 is: 12,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.71 : 48,235.18 = 8,465.27 : x
  2. Step 2: Convert to fraction form
    32,159.71/48,235.18 = 8,465.27/x
  3. Step 3: Cross multiply
    32,159.71x = 48,235.18 × 8,465.27
  4. Step 4: Simplify right side
    32,159.71x = 408,323,677.48
  5. Step 5: Solve for x
    x = 408,323,677.48/32,159.71
  6. Step 6: Final answer
    x = 12,696.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.