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Finding the Fourth Proportional to 47,409.68, 65,430.24 and 27,267.32

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Solution

The fourth proportional to 47,409.68, 65,430.24 and 27,267.32 is: 37,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,409.68 : 65,430.24 = 27,267.32 : x
  2. Step 2: Convert to fraction form
    47,409.68/65,430.24 = 27,267.32/x
  3. Step 3: Cross multiply
    47,409.68x = 65,430.24 × 27,267.32
  4. Step 4: Simplify right side
    47,409.68x = 1,784,107,291.76
  5. Step 5: Solve for x
    x = 1,784,107,291.76/47,409.68
  6. Step 6: Final answer
    x = 37,631.71

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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.