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Finding the Fourth Proportional to 75,898.75, 104,740.34 and 42,364.75

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Solution

The fourth proportional to 75,898.75, 104,740.34 and 42,364.75 is: 58,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.75 : 104,740.34 = 42,364.75 : x
  2. Step 2: Convert to fraction form
    75,898.75/104,740.34 = 42,364.75/x
  3. Step 3: Cross multiply
    75,898.75x = 104,740.34 × 42,364.75
  4. Step 4: Simplify right side
    75,898.75x = 4,437,298,107.19
  5. Step 5: Solve for x
    x = 4,437,298,107.19/75,898.75
  6. Step 6: Final answer
    x = 58,463.39

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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.