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Finding the Fourth Proportional to 38,065, 52,552.74 and 24,840.04

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Solution

The fourth proportional to 38,065, 52,552.74 and 24,840.04 is: 34,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065 : 52,552.74 = 24,840.04 : x
  2. Step 2: Convert to fraction form
    38,065/52,552.74 = 24,840.04/x
  3. Step 3: Cross multiply
    38,065x = 52,552.74 × 24,840.04
  4. Step 4: Simplify right side
    38,065x = 1,305,412,163.71
  5. Step 5: Solve for x
    x = 1,305,412,163.71/38,065
  6. Step 6: Final answer
    x = 34,294.29

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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.