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Finding the Fourth Proportional to 65,506, 90,398.64 and 35,698

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Solution

The fourth proportional to 65,506, 90,398.64 and 35,698 is: 49,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506 : 90,398.64 = 35,698 : x
  2. Step 2: Convert to fraction form
    65,506/90,398.64 = 35,698/x
  3. Step 3: Cross multiply
    65,506x = 90,398.64 × 35,698
  4. Step 4: Simplify right side
    65,506x = 3,227,050,650.72
  5. Step 5: Solve for x
    x = 3,227,050,650.72/65,506
  6. Step 6: Final answer
    x = 49,263.44

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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.