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Finding the Fourth Proportional to 29,745, 44,617.50 and 11,277

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Solution

The fourth proportional to 29,745, 44,617.50 and 11,277 is: 16,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745 : 44,617.50 = 11,277 : x
  2. Step 2: Convert to fraction form
    29,745/44,617.50 = 11,277/x
  3. Step 3: Cross multiply
    29,745x = 44,617.50 × 11,277
  4. Step 4: Simplify right side
    29,745x = 503,151,547.50
  5. Step 5: Solve for x
    x = 503,151,547.50/29,745
  6. Step 6: Final answer
    x = 16,915.50

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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.