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Finding the Fourth Proportional to 65,032.29, 89,742.67 and 36,352

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Solution

The fourth proportional to 65,032.29, 89,742.67 and 36,352 is: 50,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,032.29 : 89,742.67 = 36,352 : x
  2. Step 2: Convert to fraction form
    65,032.29/89,742.67 = 36,352/x
  3. Step 3: Cross multiply
    65,032.29x = 89,742.67 × 36,352
  4. Step 4: Simplify right side
    65,032.29x = 3,262,325,539.84
  5. Step 5: Solve for x
    x = 3,262,325,539.84/65,032.29
  6. Step 6: Final answer
    x = 50,164.70

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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.