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Finding the Fourth Proportional to 65,118, 89,862.88 and 35,310

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Solution

The fourth proportional to 65,118, 89,862.88 and 35,310 is: 48,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118 : 89,862.88 = 35,310 : x
  2. Step 2: Convert to fraction form
    65,118/89,862.88 = 35,310/x
  3. Step 3: Cross multiply
    65,118x = 89,862.88 × 35,310
  4. Step 4: Simplify right side
    65,118x = 3,173,058,292.80
  5. Step 5: Solve for x
    x = 3,173,058,292.80/65,118
  6. Step 6: Final answer
    x = 48,727.82

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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.