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Finding the Fourth Proportional to 73,507.92, 101,443.16 and 41,678.16

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Solution

The fourth proportional to 73,507.92, 101,443.16 and 41,678.16 is: 57,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,507.92 : 101,443.16 = 41,678.16 : x
  2. Step 2: Convert to fraction form
    73,507.92/101,443.16 = 41,678.16/x
  3. Step 3: Cross multiply
    73,507.92x = 101,443.16 × 41,678.16
  4. Step 4: Simplify right side
    73,507.92x = 4,227,964,253.39
  5. Step 5: Solve for x
    x = 4,227,964,253.39/73,507.92
  6. Step 6: Final answer
    x = 57,517.13

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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.