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Finding the Fourth Proportional to 109,109.84, 163,659.49 and 38,029.60

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Solution

The fourth proportional to 109,109.84, 163,659.49 and 38,029.60 is: 57,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,109.84 : 163,659.49 = 38,029.60 : x
  2. Step 2: Convert to fraction form
    109,109.84/163,659.49 = 38,029.60/x
  3. Step 3: Cross multiply
    109,109.84x = 163,659.49 × 38,029.60
  4. Step 4: Simplify right side
    109,109.84x = 6,223,905,050.40
  5. Step 5: Solve for x
    x = 6,223,905,050.40/109,109.84
  6. Step 6: Final answer
    x = 57,042.57

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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.