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Finding the Fourth Proportional to 32,409.87, 48,595.35 and 12,664.90

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Solution

The fourth proportional to 32,409.87, 48,595.35 and 12,664.90 is: 18,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.87 : 48,595.35 = 12,664.90 : x
  2. Step 2: Convert to fraction form
    32,409.87/48,595.35 = 12,664.90/x
  3. Step 3: Cross multiply
    32,409.87x = 48,595.35 × 12,664.90
  4. Step 4: Simplify right side
    32,409.87x = 615,455,248.22
  5. Step 5: Solve for x
    x = 615,455,248.22/32,409.87
  6. Step 6: Final answer
    x = 18,989.75

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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.