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Finding the Fourth Proportional to 128,460.74, 192,693.53 and 34,966.49

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Solution

The fourth proportional to 128,460.74, 192,693.53 and 34,966.49 is: 52,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,460.74 : 192,693.53 = 34,966.49 : x
  2. Step 2: Convert to fraction form
    128,460.74/192,693.53 = 34,966.49/x
  3. Step 3: Cross multiply
    128,460.74x = 192,693.53 × 34,966.49
  4. Step 4: Simplify right side
    128,460.74x = 6,737,815,513.76
  5. Step 5: Solve for x
    x = 6,737,815,513.76/128,460.74
  6. Step 6: Final answer
    x = 52,450.39

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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.