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Finding the Fourth Proportional to 29,496.07, 44,246.94 and 9,775

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Solution

The fourth proportional to 29,496.07, 44,246.94 and 9,775 is: 14,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,496.07 : 44,246.94 = 9,775 : x
  2. Step 2: Convert to fraction form
    29,496.07/44,246.94 = 9,775/x
  3. Step 3: Cross multiply
    29,496.07x = 44,246.94 × 9,775
  4. Step 4: Simplify right side
    29,496.07x = 432,513,838.50
  5. Step 5: Solve for x
    x = 432,513,838.50/29,496.07
  6. Step 6: Final answer
    x = 14,663.44

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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.