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Finding the Fourth Proportional to 98,667.68, 147,985.02 and 35,474.92

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Solution

The fourth proportional to 98,667.68, 147,985.02 and 35,474.92 is: 53,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,667.68 : 147,985.02 = 35,474.92 : x
  2. Step 2: Convert to fraction form
    98,667.68/147,985.02 = 35,474.92/x
  3. Step 3: Cross multiply
    98,667.68x = 147,985.02 × 35,474.92
  4. Step 4: Simplify right side
    98,667.68x = 5,249,756,745.70
  5. Step 5: Solve for x
    x = 5,249,756,745.70/98,667.68
  6. Step 6: Final answer
    x = 53,206.45

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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.