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Finding the Fourth Proportional to 109,038.60, 163,630.80 and 49,843.80

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Solution

The fourth proportional to 109,038.60, 163,630.80 and 49,843.80 is: 74,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,038.60 : 163,630.80 = 49,843.80 : x
  2. Step 2: Convert to fraction form
    109,038.60/163,630.80 = 49,843.80/x
  3. Step 3: Cross multiply
    109,038.60x = 163,630.80 × 49,843.80
  4. Step 4: Simplify right side
    109,038.60x = 8,155,980,869.04
  5. Step 5: Solve for x
    x = 8,155,980,869.04/109,038.60
  6. Step 6: Final answer
    x = 74,799.02

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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.