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Finding the Fourth Proportional to 47,662.54, 65,746.97 and 29,726.40

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Solution

The fourth proportional to 47,662.54, 65,746.97 and 29,726.40 is: 41,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.54 : 65,746.97 = 29,726.40 : x
  2. Step 2: Convert to fraction form
    47,662.54/65,746.97 = 29,726.40/x
  3. Step 3: Cross multiply
    47,662.54x = 65,746.97 × 29,726.40
  4. Step 4: Simplify right side
    47,662.54x = 1,954,421,105.61
  5. Step 5: Solve for x
    x = 1,954,421,105.61/47,662.54
  6. Step 6: Final answer
    x = 41,005.39

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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.