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Finding the Fourth Proportional to 52,102.62, 77,696.30 and 51,629.00

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Solution

The fourth proportional to 52,102.62, 77,696.30 and 51,629.00 is: 76,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.62 : 77,696.30 = 51,629.00 : x
  2. Step 2: Convert to fraction form
    52,102.62/77,696.30 = 51,629.00/x
  3. Step 3: Cross multiply
    52,102.62x = 77,696.30 × 51,629.00
  4. Step 4: Simplify right side
    52,102.62x = 4,011,382,013.29
  5. Step 5: Solve for x
    x = 4,011,382,013.29/52,102.62
  6. Step 6: Final answer
    x = 76,990.02

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Why These Related Problems?

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