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Finding the Fourth Proportional to 52,702.84, 78,678.59 and 50,857.12

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Solution

The fourth proportional to 52,702.84, 78,678.59 and 50,857.12 is: 75,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.84 : 78,678.59 = 50,857.12 : x
  2. Step 2: Convert to fraction form
    52,702.84/78,678.59 = 50,857.12/x
  3. Step 3: Cross multiply
    52,702.84x = 78,678.59 × 50,857.12
  4. Step 4: Simplify right side
    52,702.84x = 4,001,366,493.06
  5. Step 5: Solve for x
    x = 4,001,366,493.06/52,702.84
  6. Step 6: Final answer
    x = 75,923.17

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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.