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Finding the Fourth Proportional to 53,667.16, 80,396.02 and 35,143

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Solution

The fourth proportional to 53,667.16, 80,396.02 and 35,143 is: 52,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,667.16 : 80,396.02 = 35,143 : x
  2. Step 2: Convert to fraction form
    53,667.16/80,396.02 = 35,143/x
  3. Step 3: Cross multiply
    53,667.16x = 80,396.02 × 35,143
  4. Step 4: Simplify right side
    53,667.16x = 2,825,357,330.86
  5. Step 5: Solve for x
    x = 2,825,357,330.86/53,667.16
  6. Step 6: Final answer
    x = 52,645.93

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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.