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Finding the Fourth Proportional to 48,130.53, 66,393.47 and 27,985.19

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Solution

The fourth proportional to 48,130.53, 66,393.47 and 27,985.19 is: 38,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,130.53 : 66,393.47 = 27,985.19 : x
  2. Step 2: Convert to fraction form
    48,130.53/66,393.47 = 27,985.19/x
  3. Step 3: Cross multiply
    48,130.53x = 66,393.47 × 27,985.19
  4. Step 4: Simplify right side
    48,130.53x = 1,858,033,872.71
  5. Step 5: Solve for x
    x = 1,858,033,872.71/48,130.53
  6. Step 6: Final answer
    x = 38,604.06

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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.