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Finding the Fourth Proportional to 65,742.84, 90,718.38 and 38,880.10

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Solution

The fourth proportional to 65,742.84, 90,718.38 and 38,880.10 is: 53,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742.84 : 90,718.38 = 38,880.10 : x
  2. Step 2: Convert to fraction form
    65,742.84/90,718.38 = 38,880.10/x
  3. Step 3: Cross multiply
    65,742.84x = 90,718.38 × 38,880.10
  4. Step 4: Simplify right side
    65,742.84x = 3,527,139,799.64
  5. Step 5: Solve for x
    x = 3,527,139,799.64/65,742.84
  6. Step 6: Final answer
    x = 53,650.55

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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.