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Finding the Fourth Proportional to 75,773, 104,566.74 and 42,239

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Solution

The fourth proportional to 75,773, 104,566.74 and 42,239 is: 58,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,773 : 104,566.74 = 42,239 : x
  2. Step 2: Convert to fraction form
    75,773/104,566.74 = 42,239/x
  3. Step 3: Cross multiply
    75,773x = 104,566.74 × 42,239
  4. Step 4: Simplify right side
    75,773x = 4,416,794,530.86
  5. Step 5: Solve for x
    x = 4,416,794,530.86/75,773
  6. Step 6: Final answer
    x = 58,289.82

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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.