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Finding the Fourth Proportional to 65,704, 90,671.52 and 35,896

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Solution

The fourth proportional to 65,704, 90,671.52 and 35,896 is: 49,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,704 : 90,671.52 = 35,896 : x
  2. Step 2: Convert to fraction form
    65,704/90,671.52 = 35,896/x
  3. Step 3: Cross multiply
    65,704x = 90,671.52 × 35,896
  4. Step 4: Simplify right side
    65,704x = 3,254,744,881.92
  5. Step 5: Solve for x
    x = 3,254,744,881.92/65,704
  6. Step 6: Final answer
    x = 49,536.48

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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.