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Finding the Fourth Proportional to 122,588.25, 183,882.38 and 39,482.25

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Solution

The fourth proportional to 122,588.25, 183,882.38 and 39,482.25 is: 59,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,588.25 : 183,882.38 = 39,482.25 : x
  2. Step 2: Convert to fraction form
    122,588.25/183,882.38 = 39,482.25/x
  3. Step 3: Cross multiply
    122,588.25x = 183,882.38 × 39,482.25
  4. Step 4: Simplify right side
    122,588.25x = 7,260,089,900.34
  5. Step 5: Solve for x
    x = 7,260,089,900.34/122,588.25
  6. Step 6: Final answer
    x = 59,223.38

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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.