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Finding the Fourth Proportional to 56,634.66, 84,946.12 and 19,193.76

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Solution

The fourth proportional to 56,634.66, 84,946.12 and 19,193.76 is: 28,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,634.66 : 84,946.12 = 19,193.76 : x
  2. Step 2: Convert to fraction form
    56,634.66/84,946.12 = 19,193.76/x
  3. Step 3: Cross multiply
    56,634.66x = 84,946.12 × 19,193.76
  4. Step 4: Simplify right side
    56,634.66x = 1,630,435,392.23
  5. Step 5: Solve for x
    x = 1,630,435,392.23/56,634.66
  6. Step 6: Final answer
    x = 28,788.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.