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Finding the Fourth Proportional to 52,380, 72,291.69 and 33,557.22

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Solution

The fourth proportional to 52,380, 72,291.69 and 33,557.22 is: 46,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,380 : 72,291.69 = 33,557.22 : x
  2. Step 2: Convert to fraction form
    52,380/72,291.69 = 33,557.22/x
  3. Step 3: Cross multiply
    52,380x = 72,291.69 × 33,557.22
  4. Step 4: Simplify right side
    52,380x = 2,425,908,145.50
  5. Step 5: Solve for x
    x = 2,425,908,145.50/52,380
  6. Step 6: Final answer
    x = 46,313.63

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