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Finding the Fourth Proportional to 38,097, 52,561.71 and 24,678.54

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Solution

The fourth proportional to 38,097, 52,561.71 and 24,678.54 is: 34,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 52,561.71 = 24,678.54 : x
  2. Step 2: Convert to fraction form
    38,097/52,561.71 = 24,678.54/x
  3. Step 3: Cross multiply
    38,097x = 52,561.71 × 24,678.54
  4. Step 4: Simplify right side
    38,097x = 1,297,146,262.70
  5. Step 5: Solve for x
    x = 1,297,146,262.70/38,097
  6. Step 6: Final answer
    x = 34,048.51

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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.