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Finding the Fourth Proportional to 29,567.68, 40,810.08 and 20,140

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Solution

The fourth proportional to 29,567.68, 40,810.08 and 20,140 is: 27,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.68 : 40,810.08 = 20,140 : x
  2. Step 2: Convert to fraction form
    29,567.68/40,810.08 = 20,140/x
  3. Step 3: Cross multiply
    29,567.68x = 40,810.08 × 20,140
  4. Step 4: Simplify right side
    29,567.68x = 821,915,011.20
  5. Step 5: Solve for x
    x = 821,915,011.20/29,567.68
  6. Step 6: Final answer
    x = 27,797.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.