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Finding the Fourth Proportional to 109,483.92, 164,225.52 and 26,377.92

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Solution

The fourth proportional to 109,483.92, 164,225.52 and 26,377.92 is: 39,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,483.92 : 164,225.52 = 26,377.92 : x
  2. Step 2: Convert to fraction form
    109,483.92/164,225.52 = 26,377.92/x
  3. Step 3: Cross multiply
    109,483.92x = 164,225.52 × 26,377.92
  4. Step 4: Simplify right side
    109,483.92x = 4,331,927,628.52
  5. Step 5: Solve for x
    x = 4,331,927,628.52/109,483.92
  6. Step 6: Final answer
    x = 39,566.79

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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.