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Finding the Fourth Proportional to 27,142.52, 40,707.71 and 13,101.98

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Solution

The fourth proportional to 27,142.52, 40,707.71 and 13,101.98 is: 19,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.52 : 40,707.71 = 13,101.98 : x
  2. Step 2: Convert to fraction form
    27,142.52/40,707.71 = 13,101.98/x
  3. Step 3: Cross multiply
    27,142.52x = 40,707.71 × 13,101.98
  4. Step 4: Simplify right side
    27,142.52x = 533,351,536.76
  5. Step 5: Solve for x
    x = 533,351,536.76/27,142.52
  6. Step 6: Final answer
    x = 19,650.04

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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.