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Finding the Fourth Proportional to 34,862.80, 52,207.80 and 27,950.80

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Solution

The fourth proportional to 34,862.80, 52,207.80 and 27,950.80 is: 41,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,862.80 : 52,207.80 = 27,950.80 : x
  2. Step 2: Convert to fraction form
    34,862.80/52,207.80 = 27,950.80/x
  3. Step 3: Cross multiply
    34,862.80x = 52,207.80 × 27,950.80
  4. Step 4: Simplify right side
    34,862.80x = 1,459,249,776.24
  5. Step 5: Solve for x
    x = 1,459,249,776.24/34,862.80
  6. Step 6: Final answer
    x = 41,856.93

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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.