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Finding the Fourth Proportional to 48,047.48, 66,305.16 and 27,905.24

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Solution

The fourth proportional to 48,047.48, 66,305.16 and 27,905.24 is: 38,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,047.48 : 66,305.16 = 27,905.24 : x
  2. Step 2: Convert to fraction form
    48,047.48/66,305.16 = 27,905.24/x
  3. Step 3: Cross multiply
    48,047.48x = 66,305.16 × 27,905.24
  4. Step 4: Simplify right side
    48,047.48x = 1,850,261,403.04
  5. Step 5: Solve for x
    x = 1,850,261,403.04/48,047.48
  6. Step 6: Final answer
    x = 38,509.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.