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Finding the Fourth Proportional to 36,115.64, 49,852.14 and 24,822.60

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Solution

The fourth proportional to 36,115.64, 49,852.14 and 24,822.60 is: 34,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,115.64 : 49,852.14 = 24,822.60 : x
  2. Step 2: Convert to fraction form
    36,115.64/49,852.14 = 24,822.60/x
  3. Step 3: Cross multiply
    36,115.64x = 49,852.14 × 24,822.60
  4. Step 4: Simplify right side
    36,115.64x = 1,237,459,730.36
  5. Step 5: Solve for x
    x = 1,237,459,730.36/36,115.64
  6. Step 6: Final answer
    x = 34,263.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.