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Finding the Fourth Proportional to 65,457.84, 90,335.34 and 38,616.06

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Solution

The fourth proportional to 65,457.84, 90,335.34 and 38,616.06 is: 53,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457.84 : 90,335.34 = 38,616.06 : x
  2. Step 2: Convert to fraction form
    65,457.84/90,335.34 = 38,616.06/x
  3. Step 3: Cross multiply
    65,457.84x = 90,335.34 × 38,616.06
  4. Step 4: Simplify right side
    65,457.84x = 3,488,394,909.56
  5. Step 5: Solve for x
    x = 3,488,394,909.56/65,457.84
  6. Step 6: Final answer
    x = 53,292.24

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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.