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Finding the Fourth Proportional to 58,530.12, 87,797.34 and 27,357

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Solution

The fourth proportional to 58,530.12, 87,797.34 and 27,357 is: 41,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,530.12 : 87,797.34 = 27,357 : x
  2. Step 2: Convert to fraction form
    58,530.12/87,797.34 = 27,357/x
  3. Step 3: Cross multiply
    58,530.12x = 87,797.34 × 27,357
  4. Step 4: Simplify right side
    58,530.12x = 2,401,871,830.38
  5. Step 5: Solve for x
    x = 2,401,871,830.38/58,530.12
  6. Step 6: Final answer
    x = 41,036.51

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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.