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Finding the Fourth Proportional to 102,982.62, 154,573.66 and 49,712.00

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Solution

The fourth proportional to 102,982.62, 154,573.66 and 49,712.00 is: 74,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,982.62 : 154,573.66 = 49,712.00 : x
  2. Step 2: Convert to fraction form
    102,982.62/154,573.66 = 49,712.00/x
  3. Step 3: Cross multiply
    102,982.62x = 154,573.66 × 49,712.00
  4. Step 4: Simplify right side
    102,982.62x = 7,684,165,075.19
  5. Step 5: Solve for x
    x = 7,684,165,075.19/102,982.62
  6. Step 6: Final answer
    x = 74,616.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.