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Finding the Fourth Proportional to 48,549.44, 72,825.12 and 15,268.80

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Solution

The fourth proportional to 48,549.44, 72,825.12 and 15,268.80 is: 22,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549.44 : 72,825.12 = 15,268.80 : x
  2. Step 2: Convert to fraction form
    48,549.44/72,825.12 = 15,268.80/x
  3. Step 3: Cross multiply
    48,549.44x = 72,825.12 × 15,268.80
  4. Step 4: Simplify right side
    48,549.44x = 1,111,952,192.26
  5. Step 5: Solve for x
    x = 1,111,952,192.26/48,549.44
  6. Step 6: Final answer
    x = 22,903.50

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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.