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Finding the Fourth Proportional to 32,032.80, 48,010.80 and 16,442.40

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Solution

The fourth proportional to 32,032.80, 48,010.80 and 16,442.40 is: 24,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.80 : 48,010.80 = 16,442.40 : x
  2. Step 2: Convert to fraction form
    32,032.80/48,010.80 = 16,442.40/x
  3. Step 3: Cross multiply
    32,032.80x = 48,010.80 × 16,442.40
  4. Step 4: Simplify right side
    32,032.80x = 789,412,777.92
  5. Step 5: Solve for x
    x = 789,412,777.92/32,032.80
  6. Step 6: Final answer
    x = 24,643.89

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1.5x scale

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.