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Finding the Fourth Proportional to 35,294.12, 48,706.44 and 19,380

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Solution

The fourth proportional to 35,294.12, 48,706.44 and 19,380 is: 26,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,294.12 : 48,706.44 = 19,380 : x
  2. Step 2: Convert to fraction form
    35,294.12/48,706.44 = 19,380/x
  3. Step 3: Cross multiply
    35,294.12x = 48,706.44 × 19,380
  4. Step 4: Simplify right side
    35,294.12x = 943,930,807.20
  5. Step 5: Solve for x
    x = 943,930,807.20/35,294.12
  6. Step 6: Final answer
    x = 26,744.70

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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.