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Finding the Fourth Proportional to 75,099.81, 103,637.84 and 46,805.50

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Solution

The fourth proportional to 75,099.81, 103,637.84 and 46,805.50 is: 64,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099.81 : 103,637.84 = 46,805.50 : x
  2. Step 2: Convert to fraction form
    75,099.81/103,637.84 = 46,805.50/x
  3. Step 3: Cross multiply
    75,099.81x = 103,637.84 × 46,805.50
  4. Step 4: Simplify right side
    75,099.81x = 4,850,820,920.12
  5. Step 5: Solve for x
    x = 4,850,820,920.12/75,099.81
  6. Step 6: Final answer
    x = 64,591.65

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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.