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Finding the Fourth Proportional to 30,570.32, 42,186.88 and 17,141.56

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Solution

The fourth proportional to 30,570.32, 42,186.88 and 17,141.56 is: 23,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.32 : 42,186.88 = 17,141.56 : x
  2. Step 2: Convert to fraction form
    30,570.32/42,186.88 = 17,141.56/x
  3. Step 3: Cross multiply
    30,570.32x = 42,186.88 × 17,141.56
  4. Step 4: Simplify right side
    30,570.32x = 723,148,934.73
  5. Step 5: Solve for x
    x = 723,148,934.73/30,570.32
  6. Step 6: Final answer
    x = 23,655.26

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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.