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Finding the Fourth Proportional to 64,890, 89,548.32 and 35,082

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Solution

The fourth proportional to 64,890, 89,548.32 and 35,082 is: 48,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,890 : 89,548.32 = 35,082 : x
  2. Step 2: Convert to fraction form
    64,890/89,548.32 = 35,082/x
  3. Step 3: Cross multiply
    64,890x = 89,548.32 × 35,082
  4. Step 4: Simplify right side
    64,890x = 3,141,534,162.24
  5. Step 5: Solve for x
    x = 3,141,534,162.24/64,890
  6. Step 6: Final answer
    x = 48,413.22

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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.