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Finding the Fourth Proportional to 75,646.58, 104,393.05 and 41,658.22

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Solution

The fourth proportional to 75,646.58, 104,393.05 and 41,658.22 is: 57,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,646.58 : 104,393.05 = 41,658.22 : x
  2. Step 2: Convert to fraction form
    75,646.58/104,393.05 = 41,658.22/x
  3. Step 3: Cross multiply
    75,646.58x = 104,393.05 × 41,658.22
  4. Step 4: Simplify right side
    75,646.58x = 4,348,828,669.72
  5. Step 5: Solve for x
    x = 4,348,828,669.72/75,646.58
  6. Step 6: Final answer
    x = 57,488.77

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