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Finding the Fourth Proportional to 30,762.47, 42,452.42 and 18,023.20

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Solution

The fourth proportional to 30,762.47, 42,452.42 and 18,023.20 is: 24,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.47 : 42,452.42 = 18,023.20 : x
  2. Step 2: Convert to fraction form
    30,762.47/42,452.42 = 18,023.20/x
  3. Step 3: Cross multiply
    30,762.47x = 42,452.42 × 18,023.20
  4. Step 4: Simplify right side
    30,762.47x = 765,128,153.77
  5. Step 5: Solve for x
    x = 765,128,153.77/30,762.47
  6. Step 6: Final answer
    x = 24,872.13

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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.