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Finding the Fourth Proportional to 48,203.80, 72,294.04 and 18,602.76

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Solution

The fourth proportional to 48,203.80, 72,294.04 and 18,602.76 is: 27,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,203.80 : 72,294.04 = 18,602.76 : x
  2. Step 2: Convert to fraction form
    48,203.80/72,294.04 = 18,602.76/x
  3. Step 3: Cross multiply
    48,203.80x = 72,294.04 × 18,602.76
  4. Step 4: Simplify right side
    48,203.80x = 1,344,868,675.55
  5. Step 5: Solve for x
    x = 1,344,868,675.55/48,203.80
  6. Step 6: Final answer
    x = 27,899.64

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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.