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Finding the Fourth Proportional to 109,929.40, 164,894.10 and 26,823.40

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Solution

The fourth proportional to 109,929.40, 164,894.10 and 26,823.40 is: 40,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,929.40 : 164,894.10 = 26,823.40 : x
  2. Step 2: Convert to fraction form
    109,929.40/164,894.10 = 26,823.40/x
  3. Step 3: Cross multiply
    109,929.40x = 164,894.10 × 26,823.40
  4. Step 4: Simplify right side
    109,929.40x = 4,423,020,401.94
  5. Step 5: Solve for x
    x = 4,423,020,401.94/109,929.40
  6. Step 6: Final answer
    x = 40,235.10

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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.