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Finding the Fourth Proportional to 73,784, 101,824.08 and 40,252.16

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Solution

The fourth proportional to 73,784, 101,824.08 and 40,252.16 is: 55,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784 : 101,824.08 = 40,252.16 : x
  2. Step 2: Convert to fraction form
    73,784/101,824.08 = 40,252.16/x
  3. Step 3: Cross multiply
    73,784x = 101,824.08 × 40,252.16
  4. Step 4: Simplify right side
    73,784x = 4,098,639,160.01
  5. Step 5: Solve for x
    x = 4,098,639,160.01/73,784
  6. Step 6: Final answer
    x = 55,549.16

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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.