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Finding the Fourth Proportional to 47,220.66, 65,159.10 and 27,072

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Solution

The fourth proportional to 47,220.66, 65,159.10 and 27,072 is: 37,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,220.66 : 65,159.10 = 27,072 : x
  2. Step 2: Convert to fraction form
    47,220.66/65,159.10 = 27,072/x
  3. Step 3: Cross multiply
    47,220.66x = 65,159.10 × 27,072
  4. Step 4: Simplify right side
    47,220.66x = 1,763,987,155.20
  5. Step 5: Solve for x
    x = 1,763,987,155.20/47,220.66
  6. Step 6: Final answer
    x = 37,356.26

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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.