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Finding the Fourth Proportional to 122,386.06, 183,543.80 and 33,642.46

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Solution

The fourth proportional to 122,386.06, 183,543.80 and 33,642.46 is: 50,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,386.06 : 183,543.80 = 33,642.46 : x
  2. Step 2: Convert to fraction form
    122,386.06/183,543.80 = 33,642.46/x
  3. Step 3: Cross multiply
    122,386.06x = 183,543.80 × 33,642.46
  4. Step 4: Simplify right side
    122,386.06x = 6,174,864,949.75
  5. Step 5: Solve for x
    x = 6,174,864,949.75/122,386.06
  6. Step 6: Final answer
    x = 50,453.99

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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.