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Finding the Fourth Proportional to 99,795.02, 137,713.68 and 59,488

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Solution

The fourth proportional to 99,795.02, 137,713.68 and 59,488 is: 82,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,795.02 : 137,713.68 = 59,488 : x
  2. Step 2: Convert to fraction form
    99,795.02/137,713.68 = 59,488/x
  3. Step 3: Cross multiply
    99,795.02x = 137,713.68 × 59,488
  4. Step 4: Simplify right side
    99,795.02x = 8,192,311,395.84
  5. Step 5: Solve for x
    x = 8,192,311,395.84/99,795.02
  6. Step 6: Final answer
    x = 82,091.38

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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.