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Finding the Fourth Proportional to 47,481, 65,524.86 and 30,743.16

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Solution

The fourth proportional to 47,481, 65,524.86 and 30,743.16 is: 42,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,481 : 65,524.86 = 30,743.16 : x
  2. Step 2: Convert to fraction form
    47,481/65,524.86 = 30,743.16/x
  3. Step 3: Cross multiply
    47,481x = 65,524.86 × 30,743.16
  4. Step 4: Simplify right side
    47,481x = 2,014,441,254.96
  5. Step 5: Solve for x
    x = 2,014,441,254.96/47,481
  6. Step 6: Final answer
    x = 42,426.26

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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.