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Finding the Fourth Proportional to 29,757, 44,641.98 and 11,289

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Solution

The fourth proportional to 29,757, 44,641.98 and 11,289 is: 16,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757 : 44,641.98 = 11,289 : x
  2. Step 2: Convert to fraction form
    29,757/44,641.98 = 11,289/x
  3. Step 3: Cross multiply
    29,757x = 44,641.98 × 11,289
  4. Step 4: Simplify right side
    29,757x = 503,963,312.22
  5. Step 5: Solve for x
    x = 503,963,312.22/29,757
  6. Step 6: Final answer
    x = 16,935.96

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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.