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Finding the Fourth Proportional to 76,603.41, 114,919.24 and 34,484.52

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Solution

The fourth proportional to 76,603.41, 114,919.24 and 34,484.52 is: 51,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,603.41 : 114,919.24 = 34,484.52 : x
  2. Step 2: Convert to fraction form
    76,603.41/114,919.24 = 34,484.52/x
  3. Step 3: Cross multiply
    76,603.41x = 114,919.24 × 34,484.52
  4. Step 4: Simplify right side
    76,603.41x = 3,962,934,830.16
  5. Step 5: Solve for x
    x = 3,962,934,830.16/76,603.41
  6. Step 6: Final answer
    x = 51,733.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.