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Finding the Fourth Proportional to 30,923.56, 42,658.86 and 19,574.02

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Solution

The fourth proportional to 30,923.56, 42,658.86 and 19,574.02 is: 27,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.56 : 42,658.86 = 19,574.02 : x
  2. Step 2: Convert to fraction form
    30,923.56/42,658.86 = 19,574.02/x
  3. Step 3: Cross multiply
    30,923.56x = 42,658.86 × 19,574.02
  4. Step 4: Simplify right side
    30,923.56x = 835,005,378.82
  5. Step 5: Solve for x
    x = 835,005,378.82/30,923.56
  6. Step 6: Final answer
    x = 27,002.24

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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.