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Finding the Fourth Proportional to 24,002.88, 33,125.12 and 16,048.32

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Solution

The fourth proportional to 24,002.88, 33,125.12 and 16,048.32 is: 22,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.88 : 33,125.12 = 16,048.32 : x
  2. Step 2: Convert to fraction form
    24,002.88/33,125.12 = 16,048.32/x
  3. Step 3: Cross multiply
    24,002.88x = 33,125.12 × 16,048.32
  4. Step 4: Simplify right side
    24,002.88x = 531,602,525.80
  5. Step 5: Solve for x
    x = 531,602,525.80/24,002.88
  6. Step 6: Final answer
    x = 22,147.45

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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.