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Finding the Fourth Proportional to 32,410.60, 48,621.30 and 12,689.80

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Solution

The fourth proportional to 32,410.60, 48,621.30 and 12,689.80 is: 19,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.60 : 48,621.30 = 12,689.80 : x
  2. Step 2: Convert to fraction form
    32,410.60/48,621.30 = 12,689.80/x
  3. Step 3: Cross multiply
    32,410.60x = 48,621.30 × 12,689.80
  4. Step 4: Simplify right side
    32,410.60x = 616,994,572.74
  5. Step 5: Solve for x
    x = 616,994,572.74/32,410.60
  6. Step 6: Final answer
    x = 19,036.81

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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.