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Finding the Fourth Proportional to 75,095.64, 103,624.96 and 44,874.96

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Solution

The fourth proportional to 75,095.64, 103,624.96 and 44,874.96 is: 61,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095.64 : 103,624.96 = 44,874.96 : x
  2. Step 2: Convert to fraction form
    75,095.64/103,624.96 = 44,874.96/x
  3. Step 3: Cross multiply
    75,095.64x = 103,624.96 × 44,874.96
  4. Step 4: Simplify right side
    75,095.64x = 4,650,165,935.00
  5. Step 5: Solve for x
    x = 4,650,165,935.00/75,095.64
  6. Step 6: Final answer
    x = 61,923.25

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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.