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Finding the Fourth Proportional to 48,261.59, 72,540 and 47,228.03

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Solution

The fourth proportional to 48,261.59, 72,540 and 47,228.03 is: 70,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,261.59 : 72,540 = 47,228.03 : x
  2. Step 2: Convert to fraction form
    48,261.59/72,540 = 47,228.03/x
  3. Step 3: Cross multiply
    48,261.59x = 72,540 × 47,228.03
  4. Step 4: Simplify right side
    48,261.59x = 3,425,921,296.20
  5. Step 5: Solve for x
    x = 3,425,921,296.20/48,261.59
  6. Step 6: Final answer
    x = 70,986.50

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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.