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Finding the Fourth Proportional to 32,699.64, 49,056.72 and 11,923.14

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Solution

The fourth proportional to 32,699.64, 49,056.72 and 11,923.14 is: 17,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699.64 : 49,056.72 = 11,923.14 : x
  2. Step 2: Convert to fraction form
    32,699.64/49,056.72 = 11,923.14/x
  3. Step 3: Cross multiply
    32,699.64x = 49,056.72 × 11,923.14
  4. Step 4: Simplify right side
    32,699.64x = 584,910,140.50
  5. Step 5: Solve for x
    x = 584,910,140.50/32,699.64
  6. Step 6: Final answer
    x = 17,887.36

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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.