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Finding the Fourth Proportional to 124,644.34, 186,966.81 and 49,770.58

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Solution

The fourth proportional to 124,644.34, 186,966.81 and 49,770.58 is: 74,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,644.34 : 186,966.81 = 49,770.58 : x
  2. Step 2: Convert to fraction form
    124,644.34/186,966.81 = 49,770.58/x
  3. Step 3: Cross multiply
    124,644.34x = 186,966.81 × 49,770.58
  4. Step 4: Simplify right side
    124,644.34x = 9,305,445,639.62
  5. Step 5: Solve for x
    x = 9,305,445,639.62/124,644.34
  6. Step 6: Final answer
    x = 74,655.99

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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.