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Finding the Fourth Proportional to 75,696.83, 113,416.03 and 53,467.32

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Solution

The fourth proportional to 75,696.83, 113,416.03 and 53,467.32 is: 80,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,696.83 : 113,416.03 = 53,467.32 : x
  2. Step 2: Convert to fraction form
    75,696.83/113,416.03 = 53,467.32/x
  3. Step 3: Cross multiply
    75,696.83x = 113,416.03 × 53,467.32
  4. Step 4: Simplify right side
    75,696.83x = 6,064,051,661.28
  5. Step 5: Solve for x
    x = 6,064,051,661.28/75,696.83
  6. Step 6: Final answer
    x = 80,109.72

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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.