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Finding the Fourth Proportional to 32,010.84, 48,028.86 and 16,207.20

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Solution

The fourth proportional to 32,010.84, 48,028.86 and 16,207.20 is: 24,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.84 : 48,028.86 = 16,207.20 : x
  2. Step 2: Convert to fraction form
    32,010.84/48,028.86 = 16,207.20/x
  3. Step 3: Cross multiply
    32,010.84x = 48,028.86 × 16,207.20
  4. Step 4: Simplify right side
    32,010.84x = 778,413,339.79
  5. Step 5: Solve for x
    x = 778,413,339.79/32,010.84
  6. Step 6: Final answer
    x = 24,317.18

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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.