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Finding the Fourth Proportional to 71,369.53, 107,056.04 and 23,985.32

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Solution

The fourth proportional to 71,369.53, 107,056.04 and 23,985.32 is: 35,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,369.53 : 107,056.04 = 23,985.32 : x
  2. Step 2: Convert to fraction form
    71,369.53/107,056.04 = 23,985.32/x
  3. Step 3: Cross multiply
    71,369.53x = 107,056.04 × 23,985.32
  4. Step 4: Simplify right side
    71,369.53x = 2,567,772,722.13
  5. Step 5: Solve for x
    x = 2,567,772,722.13/71,369.53
  6. Step 6: Final answer
    x = 35,978.56

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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.