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Finding the Fourth Proportional to 103,877.22, 155,692.81 and 47,669.96

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Solution

The fourth proportional to 103,877.22, 155,692.81 and 47,669.96 is: 71,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,877.22 : 155,692.81 = 47,669.96 : x
  2. Step 2: Convert to fraction form
    103,877.22/155,692.81 = 47,669.96/x
  3. Step 3: Cross multiply
    103,877.22x = 155,692.81 × 47,669.96
  4. Step 4: Simplify right side
    103,877.22x = 7,421,870,024.99
  5. Step 5: Solve for x
    x = 7,421,870,024.99/103,877.22
  6. Step 6: Final answer
    x = 71,448.49

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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.