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Finding the Fourth Proportional to 29,259.90, 40,378.38 and 15,830.87

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Solution

The fourth proportional to 29,259.90, 40,378.38 and 15,830.87 is: 21,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,259.90 : 40,378.38 = 15,830.87 : x
  2. Step 2: Convert to fraction form
    29,259.90/40,378.38 = 15,830.87/x
  3. Step 3: Cross multiply
    29,259.90x = 40,378.38 × 15,830.87
  4. Step 4: Simplify right side
    29,259.90x = 639,224,774.75
  5. Step 5: Solve for x
    x = 639,224,774.75/29,259.90
  6. Step 6: Final answer
    x = 21,846.44

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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.