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Finding the Fourth Proportional to 75,095.60, 103,624.44 and 41,558

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Solution

The fourth proportional to 75,095.60, 103,624.44 and 41,558 is: 57,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095.60 : 103,624.44 = 41,558 : x
  2. Step 2: Convert to fraction form
    75,095.60/103,624.44 = 41,558/x
  3. Step 3: Cross multiply
    75,095.60x = 103,624.44 × 41,558
  4. Step 4: Simplify right side
    75,095.60x = 4,306,424,477.52
  5. Step 5: Solve for x
    x = 4,306,424,477.52/75,095.60
  6. Step 6: Final answer
    x = 57,345.90

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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.