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Finding the Fourth Proportional to 29,101.60, 43,641.60 and 11,567.80

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Solution

The fourth proportional to 29,101.60, 43,641.60 and 11,567.80 is: 17,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.60 : 43,641.60 = 11,567.80 : x
  2. Step 2: Convert to fraction form
    29,101.60/43,641.60 = 11,567.80/x
  3. Step 3: Cross multiply
    29,101.60x = 43,641.60 × 11,567.80
  4. Step 4: Simplify right side
    29,101.60x = 504,837,300.48
  5. Step 5: Solve for x
    x = 504,837,300.48/29,101.60
  6. Step 6: Final answer
    x = 17,347.41

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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.