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Finding the Fourth Proportional to 73,841.22, 101,903.19 and 42,014.70

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Solution

The fourth proportional to 73,841.22, 101,903.19 and 42,014.70 is: 57,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,841.22 : 101,903.19 = 42,014.70 : x
  2. Step 2: Convert to fraction form
    73,841.22/101,903.19 = 42,014.70/x
  3. Step 3: Cross multiply
    73,841.22x = 101,903.19 × 42,014.70
  4. Step 4: Simplify right side
    73,841.22x = 4,281,431,956.89
  5. Step 5: Solve for x
    x = 4,281,431,956.89/73,841.22
  6. Step 6: Final answer
    x = 57,981.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.