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Finding the Fourth Proportional to 106,797.84, 147,375.13 and 59,048.03

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Solution

The fourth proportional to 106,797.84, 147,375.13 and 59,048.03 is: 81,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,797.84 : 147,375.13 = 59,048.03 : x
  2. Step 2: Convert to fraction form
    106,797.84/147,375.13 = 59,048.03/x
  3. Step 3: Cross multiply
    106,797.84x = 147,375.13 × 59,048.03
  4. Step 4: Simplify right side
    106,797.84x = 8,702,211,097.49
  5. Step 5: Solve for x
    x = 8,702,211,097.49/106,797.84
  6. Step 6: Final answer
    x = 81,483.03

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Why These Related Problems?

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