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Finding the Fourth Proportional to 72,667.14, 100,284.78 and 48,426

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Solution

The fourth proportional to 72,667.14, 100,284.78 and 48,426 is: 66,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,667.14 : 100,284.78 = 48,426 : x
  2. Step 2: Convert to fraction form
    72,667.14/100,284.78 = 48,426/x
  3. Step 3: Cross multiply
    72,667.14x = 100,284.78 × 48,426
  4. Step 4: Simplify right side
    72,667.14x = 4,856,390,756.28
  5. Step 5: Solve for x
    x = 4,856,390,756.28/72,667.14
  6. Step 6: Final answer
    x = 66,830.63

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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.