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Finding the Fourth Proportional to 38,205, 52,700.04 and 24,033.24

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Solution

The fourth proportional to 38,205, 52,700.04 and 24,033.24 is: 33,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205 : 52,700.04 = 24,033.24 : x
  2. Step 2: Convert to fraction form
    38,205/52,700.04 = 24,033.24/x
  3. Step 3: Cross multiply
    38,205x = 52,700.04 × 24,033.24
  4. Step 4: Simplify right side
    38,205x = 1,266,552,709.33
  5. Step 5: Solve for x
    x = 1,266,552,709.33/38,205
  6. Step 6: Final answer
    x = 33,151.49

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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.