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Finding the Fourth Proportional to 32,569, 44,945.23 and 18,421.54

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Solution

The fourth proportional to 32,569, 44,945.23 and 18,421.54 is: 25,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,569 : 44,945.23 = 18,421.54 : x
  2. Step 2: Convert to fraction form
    32,569/44,945.23 = 18,421.54/x
  3. Step 3: Cross multiply
    32,569x = 44,945.23 × 18,421.54
  4. Step 4: Simplify right side
    32,569x = 827,960,352.25
  5. Step 5: Solve for x
    x = 827,960,352.25/32,569
  6. Step 6: Final answer
    x = 25,421.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.