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Finding the Fourth Proportional to 64,764, 89,413.20 and 42,446.88

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Solution

The fourth proportional to 64,764, 89,413.20 and 42,446.88 is: 58,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764 : 89,413.20 = 42,446.88 : x
  2. Step 2: Convert to fraction form
    64,764/89,413.20 = 42,446.88/x
  3. Step 3: Cross multiply
    64,764x = 89,413.20 × 42,446.88
  4. Step 4: Simplify right side
    64,764x = 3,795,311,370.82
  5. Step 5: Solve for x
    x = 3,795,311,370.82/64,764
  6. Step 6: Final answer
    x = 58,602.18

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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.