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Finding the Fourth Proportional to 99,797.02, 137,716.44 and 59,490

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Solution

The fourth proportional to 99,797.02, 137,716.44 and 59,490 is: 82,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,797.02 : 137,716.44 = 59,490 : x
  2. Step 2: Convert to fraction form
    99,797.02/137,716.44 = 59,490/x
  3. Step 3: Cross multiply
    99,797.02x = 137,716.44 × 59,490
  4. Step 4: Simplify right side
    99,797.02x = 8,192,751,015.60
  5. Step 5: Solve for x
    x = 8,192,751,015.60/99,797.02
  6. Step 6: Final answer
    x = 82,094.14

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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.