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Finding the Fourth Proportional to 35,967.72, 53,915.21 and 14,878.62

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Solution

The fourth proportional to 35,967.72, 53,915.21 and 14,878.62 is: 22,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.72 : 53,915.21 = 14,878.62 : x
  2. Step 2: Convert to fraction form
    35,967.72/53,915.21 = 14,878.62/x
  3. Step 3: Cross multiply
    35,967.72x = 53,915.21 × 14,878.62
  4. Step 4: Simplify right side
    35,967.72x = 802,183,847.42
  5. Step 5: Solve for x
    x = 802,183,847.42/35,967.72
  6. Step 6: Final answer
    x = 22,302.88

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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.