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Finding the Fourth Proportional to 122,472, 183,683.84 and 33,702.72

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Solution

The fourth proportional to 122,472, 183,683.84 and 33,702.72 is: 50,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,472 : 183,683.84 = 33,702.72 : x
  2. Step 2: Convert to fraction form
    122,472/183,683.84 = 33,702.72/x
  3. Step 3: Cross multiply
    122,472x = 183,683.84 × 33,702.72
  4. Step 4: Simplify right side
    122,472x = 6,190,645,028.04
  5. Step 5: Solve for x
    x = 6,190,645,028.04/122,472
  6. Step 6: Final answer
    x = 50,547.43

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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.