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Finding the Fourth Proportional to 119,813, 179,596.62 and 49,733

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Solution

The fourth proportional to 119,813, 179,596.62 and 49,733 is: 74,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,813 : 179,596.62 = 49,733 : x
  2. Step 2: Convert to fraction form
    119,813/179,596.62 = 49,733/x
  3. Step 3: Cross multiply
    119,813x = 179,596.62 × 49,733
  4. Step 4: Simplify right side
    119,813x = 8,931,878,702.46
  5. Step 5: Solve for x
    x = 8,931,878,702.46/119,813
  6. Step 6: Final answer
    x = 74,548.49

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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.