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Finding the Fourth Proportional to 32,001.70, 48,002.55 and 20,328.10

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Solution

The fourth proportional to 32,001.70, 48,002.55 and 20,328.10 is: 30,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.70 : 48,002.55 = 20,328.10 : x
  2. Step 2: Convert to fraction form
    32,001.70/48,002.55 = 20,328.10/x
  3. Step 3: Cross multiply
    32,001.70x = 48,002.55 × 20,328.10
  4. Step 4: Simplify right side
    32,001.70x = 975,800,636.66
  5. Step 5: Solve for x
    x = 975,800,636.66/32,001.70
  6. Step 6: Final answer
    x = 30,492.15

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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.