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Finding the Fourth Proportional to 65,041.91, 89,767.35 and 38,199.09

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Solution

The fourth proportional to 65,041.91, 89,767.35 and 38,199.09 is: 52,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.91 : 89,767.35 = 38,199.09 : x
  2. Step 2: Convert to fraction form
    65,041.91/89,767.35 = 38,199.09/x
  3. Step 3: Cross multiply
    65,041.91x = 89,767.35 × 38,199.09
  4. Step 4: Simplify right side
    65,041.91x = 3,429,031,081.71
  5. Step 5: Solve for x
    x = 3,429,031,081.71/65,041.91
  6. Step 6: Final answer
    x = 52,720.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.