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Finding the Fourth Proportional to 65,311.47, 90,046.39 and 42,300.64

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Solution

The fourth proportional to 65,311.47, 90,046.39 and 42,300.64 is: 58,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,311.47 : 90,046.39 = 42,300.64 : x
  2. Step 2: Convert to fraction form
    65,311.47/90,046.39 = 42,300.64/x
  3. Step 3: Cross multiply
    65,311.47x = 90,046.39 × 42,300.64
  4. Step 4: Simplify right side
    65,311.47x = 3,809,019,754.45
  5. Step 5: Solve for x
    x = 3,809,019,754.45/65,311.47
  6. Step 6: Final answer
    x = 58,320.84

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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.