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Finding the Fourth Proportional to 106,377.54, 159,580.90 and 47,211.90

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Solution

The fourth proportional to 106,377.54, 159,580.90 and 47,211.90 is: 70,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,377.54 : 159,580.90 = 47,211.90 : x
  2. Step 2: Convert to fraction form
    106,377.54/159,580.90 = 47,211.90/x
  3. Step 3: Cross multiply
    106,377.54x = 159,580.90 × 47,211.90
  4. Step 4: Simplify right side
    106,377.54x = 7,534,117,492.71
  5. Step 5: Solve for x
    x = 7,534,117,492.71/106,377.54
  6. Step 6: Final answer
    x = 70,824.33

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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.