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Finding the Fourth Proportional to 122,334.57, 183,501.50 and 33,588.16

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Solution

The fourth proportional to 122,334.57, 183,501.50 and 33,588.16 is: 50,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,334.57 : 183,501.50 = 33,588.16 : x
  2. Step 2: Convert to fraction form
    122,334.57/183,501.50 = 33,588.16/x
  3. Step 3: Cross multiply
    122,334.57x = 183,501.50 × 33,588.16
  4. Step 4: Simplify right side
    122,334.57x = 6,163,477,742.24
  5. Step 5: Solve for x
    x = 6,163,477,742.24/122,334.57
  6. Step 6: Final answer
    x = 50,382.14

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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.