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Finding the Fourth Proportional to 35,987.34, 49,663.06 and 20,073

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Solution

The fourth proportional to 35,987.34, 49,663.06 and 20,073 is: 27,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,987.34 : 49,663.06 = 20,073 : x
  2. Step 2: Convert to fraction form
    35,987.34/49,663.06 = 20,073/x
  3. Step 3: Cross multiply
    35,987.34x = 49,663.06 × 20,073
  4. Step 4: Simplify right side
    35,987.34x = 996,886,603.38
  5. Step 5: Solve for x
    x = 996,886,603.38/35,987.34
  6. Step 6: Final answer
    x = 27,701.04

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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.