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Finding the Fourth Proportional to 35,915.92, 53,837.04 and 16,208.32

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Solution

The fourth proportional to 35,915.92, 53,837.04 and 16,208.32 is: 24,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,915.92 : 53,837.04 = 16,208.32 : x
  2. Step 2: Convert to fraction form
    35,915.92/53,837.04 = 16,208.32/x
  3. Step 3: Cross multiply
    35,915.92x = 53,837.04 × 16,208.32
  4. Step 4: Simplify right side
    35,915.92x = 872,607,972.17
  5. Step 5: Solve for x
    x = 872,607,972.17/35,915.92
  6. Step 6: Final answer
    x = 24,295.85

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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.