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Finding the Fourth Proportional to 53,915.64, 80,882.02 and 16,467.16

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Solution

The fourth proportional to 53,915.64, 80,882.02 and 16,467.16 is: 24,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,915.64 : 80,882.02 = 16,467.16 : x
  2. Step 2: Convert to fraction form
    53,915.64/80,882.02 = 16,467.16/x
  3. Step 3: Cross multiply
    53,915.64x = 80,882.02 × 16,467.16
  4. Step 4: Simplify right side
    53,915.64x = 1,331,897,164.46
  5. Step 5: Solve for x
    x = 1,331,897,164.46/53,915.64
  6. Step 6: Final answer
    x = 24,703.35

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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.