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Finding the Fourth Proportional to 109,307.40, 163,985.76 and 33,412.80

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Solution

The fourth proportional to 109,307.40, 163,985.76 and 33,412.80 is: 50,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,307.40 : 163,985.76 = 33,412.80 : x
  2. Step 2: Convert to fraction form
    109,307.40/163,985.76 = 33,412.80/x
  3. Step 3: Cross multiply
    109,307.40x = 163,985.76 × 33,412.80
  4. Step 4: Simplify right side
    109,307.40x = 5,479,223,401.73
  5. Step 5: Solve for x
    x = 5,479,223,401.73/109,307.40
  6. Step 6: Final answer
    x = 50,126.74

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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.