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Finding the Fourth Proportional to 30,470.49, 42,058.22 and 17,726.67

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Solution

The fourth proportional to 30,470.49, 42,058.22 and 17,726.67 is: 24,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.49 : 42,058.22 = 17,726.67 : x
  2. Step 2: Convert to fraction form
    30,470.49/42,058.22 = 17,726.67/x
  3. Step 3: Cross multiply
    30,470.49x = 42,058.22 × 17,726.67
  4. Step 4: Simplify right side
    30,470.49x = 745,552,098.09
  5. Step 5: Solve for x
    x = 745,552,098.09/30,470.49
  6. Step 6: Final answer
    x = 24,468.00

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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.