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Finding the Fourth Proportional to 109,886.90, 164,821.23 and 35,004.02

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Solution

The fourth proportional to 109,886.90, 164,821.23 and 35,004.02 is: 52,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,886.90 : 164,821.23 = 35,004.02 : x
  2. Step 2: Convert to fraction form
    109,886.90/164,821.23 = 35,004.02/x
  3. Step 3: Cross multiply
    109,886.90x = 164,821.23 × 35,004.02
  4. Step 4: Simplify right side
    109,886.90x = 5,769,404,807.24
  5. Step 5: Solve for x
    x = 5,769,404,807.24/109,886.90
  6. Step 6: Final answer
    x = 52,503.12

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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.