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Finding the Fourth Proportional to 65,921.68, 90,971.90 and 35,706.76

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Solution

The fourth proportional to 65,921.68, 90,971.90 and 35,706.76 is: 49,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,921.68 : 90,971.90 = 35,706.76 : x
  2. Step 2: Convert to fraction form
    65,921.68/90,971.90 = 35,706.76/x
  3. Step 3: Cross multiply
    65,921.68x = 90,971.90 × 35,706.76
  4. Step 4: Simplify right side
    65,921.68x = 3,248,311,800.04
  5. Step 5: Solve for x
    x = 3,248,311,800.04/65,921.68
  6. Step 6: Final answer
    x = 49,275.32

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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.