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Finding the Fourth Proportional to 122,038.50, 182,917.20 and 47,125.64

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Solution

The fourth proportional to 122,038.50, 182,917.20 and 47,125.64 is: 70,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,038.50 : 182,917.20 = 47,125.64 : x
  2. Step 2: Convert to fraction form
    122,038.50/182,917.20 = 47,125.64/x
  3. Step 3: Cross multiply
    122,038.50x = 182,917.20 × 47,125.64
  4. Step 4: Simplify right side
    122,038.50x = 8,620,090,117.01
  5. Step 5: Solve for x
    x = 8,620,090,117.01/122,038.50
  6. Step 6: Final answer
    x = 70,634.19

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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.