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Finding the Fourth Proportional to 75,870, 104,700.60 and 42,336.24

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Solution

The fourth proportional to 75,870, 104,700.60 and 42,336.24 is: 58,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870 : 104,700.60 = 42,336.24 : x
  2. Step 2: Convert to fraction form
    75,870/104,700.60 = 42,336.24/x
  3. Step 3: Cross multiply
    75,870x = 104,700.60 × 42,336.24
  4. Step 4: Simplify right side
    75,870x = 4,432,629,729.74
  5. Step 5: Solve for x
    x = 4,432,629,729.74/75,870
  6. Step 6: Final answer
    x = 58,424.01

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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.