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Finding the Fourth Proportional to 65,288, 97,933.92 and 16,040

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Solution

The fourth proportional to 65,288, 97,933.92 and 16,040 is: 24,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288 : 97,933.92 = 16,040 : x
  2. Step 2: Convert to fraction form
    65,288/97,933.92 = 16,040/x
  3. Step 3: Cross multiply
    65,288x = 97,933.92 × 16,040
  4. Step 4: Simplify right side
    65,288x = 1,570,860,076.80
  5. Step 5: Solve for x
    x = 1,570,860,076.80/65,288
  6. Step 6: Final answer
    x = 24,060.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.