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Finding the Fourth Proportional to 61,213.02, 91,807.44 and 16,828.32

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Solution

The fourth proportional to 61,213.02, 91,807.44 and 16,828.32 is: 25,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,213.02 : 91,807.44 = 16,828.32 : x
  2. Step 2: Convert to fraction form
    61,213.02/91,807.44 = 16,828.32/x
  3. Step 3: Cross multiply
    61,213.02x = 91,807.44 × 16,828.32
  4. Step 4: Simplify right side
    61,213.02x = 1,544,964,978.70
  5. Step 5: Solve for x
    x = 1,544,964,978.70/61,213.02
  6. Step 6: Final answer
    x = 25,239.16

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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.