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Finding the Fourth Proportional to 65,131.84, 89,853.40 and 38,262.23

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Solution

The fourth proportional to 65,131.84, 89,853.40 and 38,262.23 is: 52,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,131.84 : 89,853.40 = 38,262.23 : x
  2. Step 2: Convert to fraction form
    65,131.84/89,853.40 = 38,262.23/x
  3. Step 3: Cross multiply
    65,131.84x = 89,853.40 × 38,262.23
  4. Step 4: Simplify right side
    65,131.84x = 3,437,991,457.08
  5. Step 5: Solve for x
    x = 3,437,991,457.08/65,131.84
  6. Step 6: Final answer
    x = 52,785.11

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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.