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Finding the Fourth Proportional to 55,705.84, 83,630 and 47,858.56

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Solution

The fourth proportional to 55,705.84, 83,630 and 47,858.56 is: 71,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,705.84 : 83,630 = 47,858.56 : x
  2. Step 2: Convert to fraction form
    55,705.84/83,630 = 47,858.56/x
  3. Step 3: Cross multiply
    55,705.84x = 83,630 × 47,858.56
  4. Step 4: Simplify right side
    55,705.84x = 4,002,411,372.80
  5. Step 5: Solve for x
    x = 4,002,411,372.80/55,705.84
  6. Step 6: Final answer
    x = 71,849.04

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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.