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Finding the Fourth Proportional to 32,021.76, 48,020.16 and 12,024.96

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Solution

The fourth proportional to 32,021.76, 48,020.16 and 12,024.96 is: 18,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.76 : 48,020.16 = 12,024.96 : x
  2. Step 2: Convert to fraction form
    32,021.76/48,020.16 = 12,024.96/x
  3. Step 3: Cross multiply
    32,021.76x = 48,020.16 × 12,024.96
  4. Step 4: Simplify right side
    32,021.76x = 577,440,503.19
  5. Step 5: Solve for x
    x = 577,440,503.19/32,021.76
  6. Step 6: Final answer
    x = 18,032.75

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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.