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Finding the Fourth Proportional to 43,391, 65,086.50 and 10,559

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Solution

The fourth proportional to 43,391, 65,086.50 and 10,559 is: 15,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,391 : 65,086.50 = 10,559 : x
  2. Step 2: Convert to fraction form
    43,391/65,086.50 = 10,559/x
  3. Step 3: Cross multiply
    43,391x = 65,086.50 × 10,559
  4. Step 4: Simplify right side
    43,391x = 687,248,353.50
  5. Step 5: Solve for x
    x = 687,248,353.50/43,391
  6. Step 6: Final answer
    x = 15,838.50

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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.