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Finding the Fourth Proportional to 122,602.44, 183,864.78 and 39,477

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Solution

The fourth proportional to 122,602.44, 183,864.78 and 39,477 is: 59,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,602.44 : 183,864.78 = 39,477 : x
  2. Step 2: Convert to fraction form
    122,602.44/183,864.78 = 39,477/x
  3. Step 3: Cross multiply
    122,602.44x = 183,864.78 × 39,477
  4. Step 4: Simplify right side
    122,602.44x = 7,258,429,920.06
  5. Step 5: Solve for x
    x = 7,258,429,920.06/122,602.44
  6. Step 6: Final answer
    x = 59,202.98

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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.