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Finding the Fourth Proportional to 34,252.98, 47,269.44 and 20,106.06

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Solution

The fourth proportional to 34,252.98, 47,269.44 and 20,106.06 is: 27,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,252.98 : 47,269.44 = 20,106.06 : x
  2. Step 2: Convert to fraction form
    34,252.98/47,269.44 = 20,106.06/x
  3. Step 3: Cross multiply
    34,252.98x = 47,269.44 × 20,106.06
  4. Step 4: Simplify right side
    34,252.98x = 950,402,196.81
  5. Step 5: Solve for x
    x = 950,402,196.81/34,252.98
  6. Step 6: Final answer
    x = 27,746.56

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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.