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Finding the Fourth Proportional to 30,447, 45,664.43 and 10,726.34

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Solution

The fourth proportional to 30,447, 45,664.43 and 10,726.34 is: 16,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447 : 45,664.43 = 10,726.34 : x
  2. Step 2: Convert to fraction form
    30,447/45,664.43 = 10,726.34/x
  3. Step 3: Cross multiply
    30,447x = 45,664.43 × 10,726.34
  4. Step 4: Simplify right side
    30,447x = 489,811,920.13
  5. Step 5: Solve for x
    x = 489,811,920.13/30,447
  6. Step 6: Final answer
    x = 16,087.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.