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Finding the Fourth Proportional to 76,566.84, 114,850.22 and 23,258.61

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Solution

The fourth proportional to 76,566.84, 114,850.22 and 23,258.61 is: 34,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566.84 : 114,850.22 = 23,258.61 : x
  2. Step 2: Convert to fraction form
    76,566.84/114,850.22 = 23,258.61/x
  3. Step 3: Cross multiply
    76,566.84x = 114,850.22 × 23,258.61
  4. Step 4: Simplify right side
    76,566.84x = 2,671,256,830.32
  5. Step 5: Solve for x
    x = 2,671,256,830.32/76,566.84
  6. Step 6: Final answer
    x = 34,887.91

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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.