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Finding the Fourth Proportional to 27,132.37, 40,695.41 and 7,412.51

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Solution

The fourth proportional to 27,132.37, 40,695.41 and 7,412.51 is: 11,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.37 : 40,695.41 = 7,412.51 : x
  2. Step 2: Convert to fraction form
    27,132.37/40,695.41 = 7,412.51/x
  3. Step 3: Cross multiply
    27,132.37x = 40,695.41 × 7,412.51
  4. Step 4: Simplify right side
    27,132.37x = 301,655,253.85
  5. Step 5: Solve for x
    x = 301,655,253.85/27,132.37
  6. Step 6: Final answer
    x = 11,117.91

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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.