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Finding the Fourth Proportional to 114,670.98, 171,938.54 and 34,684.70

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Solution

The fourth proportional to 114,670.98, 171,938.54 and 34,684.70 is: 52,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,670.98 : 171,938.54 = 34,684.70 : x
  2. Step 2: Convert to fraction form
    114,670.98/171,938.54 = 34,684.70/x
  3. Step 3: Cross multiply
    114,670.98x = 171,938.54 × 34,684.70
  4. Step 4: Simplify right side
    114,670.98x = 5,963,635,905.36
  5. Step 5: Solve for x
    x = 5,963,635,905.36/114,670.98
  6. Step 6: Final answer
    x = 52,006.50

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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.