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Finding the Fourth Proportional to 30,815, 42,524.70 and 19,643.48

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Solution

The fourth proportional to 30,815, 42,524.70 and 19,643.48 is: 27,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815 : 42,524.70 = 19,643.48 : x
  2. Step 2: Convert to fraction form
    30,815/42,524.70 = 19,643.48/x
  3. Step 3: Cross multiply
    30,815x = 42,524.70 × 19,643.48
  4. Step 4: Simplify right side
    30,815x = 835,333,093.96
  5. Step 5: Solve for x
    x = 835,333,093.96/30,815
  6. Step 6: Final answer
    x = 27,108.00

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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.