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Finding the Fourth Proportional to 47,492.49, 65,536.92 and 26,270.49

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Solution

The fourth proportional to 47,492.49, 65,536.92 and 26,270.49 is: 36,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,492.49 : 65,536.92 = 26,270.49 : x
  2. Step 2: Convert to fraction form
    47,492.49/65,536.92 = 26,270.49/x
  3. Step 3: Cross multiply
    47,492.49x = 65,536.92 × 26,270.49
  4. Step 4: Simplify right side
    47,492.49x = 1,721,687,001.49
  5. Step 5: Solve for x
    x = 1,721,687,001.49/47,492.49
  6. Step 6: Final answer
    x = 36,251.77

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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.