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Finding the Fourth Proportional to 30,470.24, 42,036.56 and 19,856

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Solution

The fourth proportional to 30,470.24, 42,036.56 and 19,856 is: 27,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.24 : 42,036.56 = 19,856 : x
  2. Step 2: Convert to fraction form
    30,470.24/42,036.56 = 19,856/x
  3. Step 3: Cross multiply
    30,470.24x = 42,036.56 × 19,856
  4. Step 4: Simplify right side
    30,470.24x = 834,677,935.36
  5. Step 5: Solve for x
    x = 834,677,935.36/30,470.24
  6. Step 6: Final answer
    x = 27,393.22

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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.