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Finding the Fourth Proportional to 76,055.49, 114,098.49 and 23,463

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Solution

The fourth proportional to 76,055.49, 114,098.49 and 23,463 is: 35,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,055.49 : 114,098.49 = 23,463 : x
  2. Step 2: Convert to fraction form
    76,055.49/114,098.49 = 23,463/x
  3. Step 3: Cross multiply
    76,055.49x = 114,098.49 × 23,463
  4. Step 4: Simplify right side
    76,055.49x = 2,677,092,870.87
  5. Step 5: Solve for x
    x = 2,677,092,870.87/76,055.49
  6. Step 6: Final answer
    x = 35,199.21

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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.