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Finding the Fourth Proportional to 52,755.84, 72,788.63 and 33,903.90

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Solution

The fourth proportional to 52,755.84, 72,788.63 and 33,903.90 is: 46,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,755.84 : 72,788.63 = 33,903.90 : x
  2. Step 2: Convert to fraction form
    52,755.84/72,788.63 = 33,903.90/x
  3. Step 3: Cross multiply
    52,755.84x = 72,788.63 × 33,903.90
  4. Step 4: Simplify right side
    52,755.84x = 2,467,818,263.14
  5. Step 5: Solve for x
    x = 2,467,818,263.14/52,755.84
  6. Step 6: Final answer
    x = 46,778.11

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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.