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Finding the Fourth Proportional to 120,006.32, 180,009.56 and 31,259.60

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Solution

The fourth proportional to 120,006.32, 180,009.56 and 31,259.60 is: 46,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,006.32 : 180,009.56 = 31,259.60 : x
  2. Step 2: Convert to fraction form
    120,006.32/180,009.56 = 31,259.60/x
  3. Step 3: Cross multiply
    120,006.32x = 180,009.56 × 31,259.60
  4. Step 4: Simplify right side
    120,006.32x = 5,627,026,841.78
  5. Step 5: Solve for x
    x = 5,627,026,841.78/120,006.32
  6. Step 6: Final answer
    x = 46,889.42

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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.