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Finding the Fourth Proportional to 70,416, 105,629.12 and 23,667.84

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Solution

The fourth proportional to 70,416, 105,629.12 and 23,667.84 is: 35,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416 : 105,629.12 = 23,667.84 : x
  2. Step 2: Convert to fraction form
    70,416/105,629.12 = 23,667.84/x
  3. Step 3: Cross multiply
    70,416x = 105,629.12 × 23,667.84
  4. Step 4: Simplify right side
    70,416x = 2,500,013,111.50
  5. Step 5: Solve for x
    x = 2,500,013,111.50/70,416
  6. Step 6: Final answer
    x = 35,503.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.