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Finding the Fourth Proportional to 122,575.26, 183,815.28 and 47,685.48

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Solution

The fourth proportional to 122,575.26, 183,815.28 and 47,685.48 is: 71,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,575.26 : 183,815.28 = 47,685.48 : x
  2. Step 2: Convert to fraction form
    122,575.26/183,815.28 = 47,685.48/x
  3. Step 3: Cross multiply
    122,575.26x = 183,815.28 × 47,685.48
  4. Step 4: Simplify right side
    122,575.26x = 8,765,319,858.13
  5. Step 5: Solve for x
    x = 8,765,319,858.13/122,575.26
  6. Step 6: Final answer
    x = 71,509.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.