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Finding the Fourth Proportional to 65,814.11, 90,823.11 and 35,599.34

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Solution

The fourth proportional to 65,814.11, 90,823.11 and 35,599.34 is: 49,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814.11 : 90,823.11 = 35,599.34 : x
  2. Step 2: Convert to fraction form
    65,814.11/90,823.11 = 35,599.34/x
  3. Step 3: Cross multiply
    65,814.11x = 90,823.11 × 35,599.34
  4. Step 4: Simplify right side
    65,814.11x = 3,233,242,318.63
  5. Step 5: Solve for x
    x = 3,233,242,318.63/65,814.11
  6. Step 6: Final answer
    x = 49,126.89

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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.