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Finding the Fourth Proportional to 109,646.50, 164,470.56 and 26,540.50

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Solution

The fourth proportional to 109,646.50, 164,470.56 and 26,540.50 is: 39,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,646.50 : 164,470.56 = 26,540.50 : x
  2. Step 2: Convert to fraction form
    109,646.50/164,470.56 = 26,540.50/x
  3. Step 3: Cross multiply
    109,646.50x = 164,470.56 × 26,540.50
  4. Step 4: Simplify right side
    109,646.50x = 4,365,130,897.68
  5. Step 5: Solve for x
    x = 4,365,130,897.68/109,646.50
  6. Step 6: Final answer
    x = 39,810.95

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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.