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Finding the Fourth Proportional to 30,497.88, 42,113.06 and 19,186.31

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Solution

The fourth proportional to 30,497.88, 42,113.06 and 19,186.31 is: 26,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.88 : 42,113.06 = 19,186.31 : x
  2. Step 2: Convert to fraction form
    30,497.88/42,113.06 = 19,186.31/x
  3. Step 3: Cross multiply
    30,497.88x = 42,113.06 × 19,186.31
  4. Step 4: Simplify right side
    30,497.88x = 807,994,233.56
  5. Step 5: Solve for x
    x = 807,994,233.56/30,497.88
  6. Step 6: Final answer
    x = 26,493.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.