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Finding the Fourth Proportional to 32,305.60, 48,465.60 and 12,582.40

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Solution

The fourth proportional to 32,305.60, 48,465.60 and 12,582.40 is: 18,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.60 : 48,465.60 = 12,582.40 : x
  2. Step 2: Convert to fraction form
    32,305.60/48,465.60 = 12,582.40/x
  3. Step 3: Cross multiply
    32,305.60x = 48,465.60 × 12,582.40
  4. Step 4: Simplify right side
    32,305.60x = 609,813,565.44
  5. Step 5: Solve for x
    x = 609,813,565.44/32,305.60
  6. Step 6: Final answer
    x = 18,876.40

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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.