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Finding the Fourth Proportional to 38,537, 57,778.94 and 15,166.12

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Solution

The fourth proportional to 38,537, 57,778.94 and 15,166.12 is: 22,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537 : 57,778.94 = 15,166.12 : x
  2. Step 2: Convert to fraction form
    38,537/57,778.94 = 15,166.12/x
  3. Step 3: Cross multiply
    38,537x = 57,778.94 × 15,166.12
  4. Step 4: Simplify right side
    38,537x = 876,282,337.51
  5. Step 5: Solve for x
    x = 876,282,337.51/38,537
  6. Step 6: Final answer
    x = 22,738.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.