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Finding the Fourth Proportional to 30,726.98, 42,400.30 and 22,665.03

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Solution

The fourth proportional to 30,726.98, 42,400.30 and 22,665.03 is: 31,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.98 : 42,400.30 = 22,665.03 : x
  2. Step 2: Convert to fraction form
    30,726.98/42,400.30 = 22,665.03/x
  3. Step 3: Cross multiply
    30,726.98x = 42,400.30 × 22,665.03
  4. Step 4: Simplify right side
    30,726.98x = 961,004,071.51
  5. Step 5: Solve for x
    x = 961,004,071.51/30,726.98
  6. Step 6: Final answer
    x = 31,275.58

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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.