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Finding the Fourth Proportional to 52,114.84, 77,501.81 and 50,454.09

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Solution

The fourth proportional to 52,114.84, 77,501.81 and 50,454.09 is: 75,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.84 : 77,501.81 = 50,454.09 : x
  2. Step 2: Convert to fraction form
    52,114.84/77,501.81 = 50,454.09/x
  3. Step 3: Cross multiply
    52,114.84x = 77,501.81 × 50,454.09
  4. Step 4: Simplify right side
    52,114.84x = 3,910,283,423.04
  5. Step 5: Solve for x
    x = 3,910,283,423.04/52,114.84
  6. Step 6: Final answer
    x = 75,032.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.