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Finding the Fourth Proportional to 105,456.39, 145,529.82 and 57,709.74

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Solution

The fourth proportional to 105,456.39, 145,529.82 and 57,709.74 is: 79,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,456.39 : 145,529.82 = 57,709.74 : x
  2. Step 2: Convert to fraction form
    105,456.39/145,529.82 = 57,709.74/x
  3. Step 3: Cross multiply
    105,456.39x = 145,529.82 × 57,709.74
  4. Step 4: Simplify right side
    105,456.39x = 8,398,488,074.45
  5. Step 5: Solve for x
    x = 8,398,488,074.45/105,456.39
  6. Step 6: Final answer
    x = 79,639.44

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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.