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Finding the Fourth Proportional to 54,324, 74,967.39 and 31,678.70

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Solution

The fourth proportional to 54,324, 74,967.39 and 31,678.70 is: 43,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 74,967.39 = 31,678.70 : x
  2. Step 2: Convert to fraction form
    54,324/74,967.39 = 31,678.70/x
  3. Step 3: Cross multiply
    54,324x = 74,967.39 × 31,678.70
  4. Step 4: Simplify right side
    54,324x = 2,374,869,082.76
  5. Step 5: Solve for x
    x = 2,374,869,082.76/54,324
  6. Step 6: Final answer
    x = 43,716.76

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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.