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Finding the Fourth Proportional to 75,575.81, 104,294.72 and 42,041.81

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Solution

The fourth proportional to 75,575.81, 104,294.72 and 42,041.81 is: 58,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,575.81 : 104,294.72 = 42,041.81 : x
  2. Step 2: Convert to fraction form
    75,575.81/104,294.72 = 42,041.81/x
  3. Step 3: Cross multiply
    75,575.81x = 104,294.72 × 42,041.81
  4. Step 4: Simplify right side
    75,575.81x = 4,384,739,168.08
  5. Step 5: Solve for x
    x = 4,384,739,168.08/75,575.81
  6. Step 6: Final answer
    x = 58,017.76

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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.