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Finding the Fourth Proportional to 65,164.95, 89,949.02 and 38,306.16

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Solution

The fourth proportional to 65,164.95, 89,949.02 and 38,306.16 is: 52,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.95 : 89,949.02 = 38,306.16 : x
  2. Step 2: Convert to fraction form
    65,164.95/89,949.02 = 38,306.16/x
  3. Step 3: Cross multiply
    65,164.95x = 89,949.02 × 38,306.16
  4. Step 4: Simplify right side
    65,164.95x = 3,445,601,360.43
  5. Step 5: Solve for x
    x = 3,445,601,360.43/65,164.95
  6. Step 6: Final answer
    x = 52,875.07

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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.