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Finding the Fourth Proportional to 35,114.10, 52,691.93 and 12,943.05

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Solution

The fourth proportional to 35,114.10, 52,691.93 and 12,943.05 is: 19,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.10 : 52,691.93 = 12,943.05 : x
  2. Step 2: Convert to fraction form
    35,114.10/52,691.93 = 12,943.05/x
  3. Step 3: Cross multiply
    35,114.10x = 52,691.93 × 12,943.05
  4. Step 4: Simplify right side
    35,114.10x = 681,994,284.59
  5. Step 5: Solve for x
    x = 681,994,284.59/35,114.10
  6. Step 6: Final answer
    x = 19,422.23

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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.