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Finding the Fourth Proportional to 75,228.30, 103,814.82 and 45,014.76

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Solution

The fourth proportional to 75,228.30, 103,814.82 and 45,014.76 is: 62,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228.30 : 103,814.82 = 45,014.76 : x
  2. Step 2: Convert to fraction form
    75,228.30/103,814.82 = 45,014.76/x
  3. Step 3: Cross multiply
    75,228.30x = 103,814.82 × 45,014.76
  4. Step 4: Simplify right side
    75,228.30x = 4,673,199,206.74
  5. Step 5: Solve for x
    x = 4,673,199,206.74/75,228.30
  6. Step 6: Final answer
    x = 62,120.23

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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.