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Finding the Fourth Proportional to 30,994.80, 42,775.14 and 19,062.29

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Solution

The fourth proportional to 30,994.80, 42,775.14 and 19,062.29 is: 26,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.80 : 42,775.14 = 19,062.29 : x
  2. Step 2: Convert to fraction form
    30,994.80/42,775.14 = 19,062.29/x
  3. Step 3: Cross multiply
    30,994.80x = 42,775.14 × 19,062.29
  4. Step 4: Simplify right side
    30,994.80x = 815,391,909.59
  5. Step 5: Solve for x
    x = 815,391,909.59/30,994.80
  6. Step 6: Final answer
    x = 26,307.38

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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.