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Finding the Fourth Proportional to 122,010.46, 183,010.28 and 33,263.98

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Solution

The fourth proportional to 122,010.46, 183,010.28 and 33,263.98 is: 49,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,010.46 : 183,010.28 = 33,263.98 : x
  2. Step 2: Convert to fraction form
    122,010.46/183,010.28 = 33,263.98/x
  3. Step 3: Cross multiply
    122,010.46x = 183,010.28 × 33,263.98
  4. Step 4: Simplify right side
    122,010.46x = 6,087,650,293.71
  5. Step 5: Solve for x
    x = 6,087,650,293.71/122,010.46
  6. Step 6: Final answer
    x = 49,894.50

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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.