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Finding the Fourth Proportional to 52,419.24, 71,931.69 and 47,667.24

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Solution

The fourth proportional to 52,419.24, 71,931.69 and 47,667.24 is: 65,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,419.24 : 71,931.69 = 47,667.24 : x
  2. Step 2: Convert to fraction form
    52,419.24/71,931.69 = 47,667.24/x
  3. Step 3: Cross multiply
    52,419.24x = 71,931.69 × 47,667.24
  4. Step 4: Simplify right side
    52,419.24x = 3,428,785,130.84
  5. Step 5: Solve for x
    x = 3,428,785,130.84/52,419.24
  6. Step 6: Final answer
    x = 65,410.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.