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Finding the Fourth Proportional to 73,017.68, 109,415.35 and 54,209.48

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Solution

The fourth proportional to 73,017.68, 109,415.35 and 54,209.48 is: 81,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,017.68 : 109,415.35 = 54,209.48 : x
  2. Step 2: Convert to fraction form
    73,017.68/109,415.35 = 54,209.48/x
  3. Step 3: Cross multiply
    73,017.68x = 109,415.35 × 54,209.48
  4. Step 4: Simplify right side
    73,017.68x = 5,931,348,956.47
  5. Step 5: Solve for x
    x = 5,931,348,956.47/73,017.68
  6. Step 6: Final answer
    x = 81,231.68

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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.