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Finding the Fourth Proportional to 48,482.96, 72,607.80 and 27,643.28

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Solution

The fourth proportional to 48,482.96, 72,607.80 and 27,643.28 is: 41,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,482.96 : 72,607.80 = 27,643.28 : x
  2. Step 2: Convert to fraction form
    48,482.96/72,607.80 = 27,643.28/x
  3. Step 3: Cross multiply
    48,482.96x = 72,607.80 × 27,643.28
  4. Step 4: Simplify right side
    48,482.96x = 2,007,117,745.58
  5. Step 5: Solve for x
    x = 2,007,117,745.58/48,482.96
  6. Step 6: Final answer
    x = 41,398.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.