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Finding the Fourth Proportional to 51,806.51, 71,490.06 and 29,146.46

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Solution

The fourth proportional to 51,806.51, 71,490.06 and 29,146.46 is: 40,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.51 : 71,490.06 = 29,146.46 : x
  2. Step 2: Convert to fraction form
    51,806.51/71,490.06 = 29,146.46/x
  3. Step 3: Cross multiply
    51,806.51x = 71,490.06 × 29,146.46
  4. Step 4: Simplify right side
    51,806.51x = 2,083,681,816.74
  5. Step 5: Solve for x
    x = 2,083,681,816.74/51,806.51
  6. Step 6: Final answer
    x = 40,220.46

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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.