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Finding the Fourth Proportional to 32,409.68, 48,595.07 and 12,664.71

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Solution

The fourth proportional to 32,409.68, 48,595.07 and 12,664.71 is: 18,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.68 : 48,595.07 = 12,664.71 : x
  2. Step 2: Convert to fraction form
    32,409.68/48,595.07 = 12,664.71/x
  3. Step 3: Cross multiply
    32,409.68x = 48,595.07 × 12,664.71
  4. Step 4: Simplify right side
    32,409.68x = 615,442,500.64
  5. Step 5: Solve for x
    x = 615,442,500.64/32,409.68
  6. Step 6: Final answer
    x = 18,989.47

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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.