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Finding the Fourth Proportional to 45,937, 68,915.24 and 14,774.68

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Solution

The fourth proportional to 45,937, 68,915.24 and 14,774.68 is: 22,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,937 : 68,915.24 = 14,774.68 : x
  2. Step 2: Convert to fraction form
    45,937/68,915.24 = 14,774.68/x
  3. Step 3: Cross multiply
    45,937x = 68,915.24 × 14,774.68
  4. Step 4: Simplify right side
    45,937x = 1,018,200,618.12
  5. Step 5: Solve for x
    x = 1,018,200,618.12/45,937
  6. Step 6: Final answer
    x = 22,165.15

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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.