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Finding the Fourth Proportional to 77,604, 107,093.52 and 42,276

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Solution

The fourth proportional to 77,604, 107,093.52 and 42,276 is: 58,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,604 : 107,093.52 = 42,276 : x
  2. Step 2: Convert to fraction form
    77,604/107,093.52 = 42,276/x
  3. Step 3: Cross multiply
    77,604x = 107,093.52 × 42,276
  4. Step 4: Simplify right side
    77,604x = 4,527,485,651.52
  5. Step 5: Solve for x
    x = 4,527,485,651.52/77,604
  6. Step 6: Final answer
    x = 58,340.88

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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.