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Finding the Fourth Proportional to 35,584.16, 49,006.15 and 34,809.12

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Solution

The fourth proportional to 35,584.16, 49,006.15 and 34,809.12 is: 47,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584.16 : 49,006.15 = 34,809.12 : x
  2. Step 2: Convert to fraction form
    35,584.16/49,006.15 = 34,809.12/x
  3. Step 3: Cross multiply
    35,584.16x = 49,006.15 × 34,809.12
  4. Step 4: Simplify right side
    35,584.16x = 1,705,860,869.07
  5. Step 5: Solve for x
    x = 1,705,860,869.07/35,584.16
  6. Step 6: Final answer
    x = 47,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.