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Finding the Fourth Proportional to 68,655.85, 102,994.88 and 21,259.80

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Solution

The fourth proportional to 68,655.85, 102,994.88 and 21,259.80 is: 31,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,655.85 : 102,994.88 = 21,259.80 : x
  2. Step 2: Convert to fraction form
    68,655.85/102,994.88 = 21,259.80/x
  3. Step 3: Cross multiply
    68,655.85x = 102,994.88 × 21,259.80
  4. Step 4: Simplify right side
    68,655.85x = 2,189,650,549.82
  5. Step 5: Solve for x
    x = 2,189,650,549.82/68,655.85
  6. Step 6: Final answer
    x = 31,893.14

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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.