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Finding the Fourth Proportional to 114,026.40, 171,009.84 and 34,045.68

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Solution

The fourth proportional to 114,026.40, 171,009.84 and 34,045.68 is: 51,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,026.40 : 171,009.84 = 34,045.68 : x
  2. Step 2: Convert to fraction form
    114,026.40/171,009.84 = 34,045.68/x
  3. Step 3: Cross multiply
    114,026.40x = 171,009.84 × 34,045.68
  4. Step 4: Simplify right side
    114,026.40x = 5,822,146,289.49
  5. Step 5: Solve for x
    x = 5,822,146,289.49/114,026.40
  6. Step 6: Final answer
    x = 51,059.63

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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.