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Finding the Fourth Proportional to 99,741.68, 137,661.44 and 59,458.12

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Solution

The fourth proportional to 99,741.68, 137,661.44 and 59,458.12 is: 82,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,741.68 : 137,661.44 = 59,458.12 : x
  2. Step 2: Convert to fraction form
    99,741.68/137,661.44 = 59,458.12/x
  3. Step 3: Cross multiply
    99,741.68x = 137,661.44 × 59,458.12
  4. Step 4: Simplify right side
    99,741.68x = 8,185,090,418.89
  5. Step 5: Solve for x
    x = 8,185,090,418.89/99,741.68
  6. Step 6: Final answer
    x = 82,062.89

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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.