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Finding the Fourth Proportional to 29,810.31, 44,722.38 and 8,749.50

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Solution

The fourth proportional to 29,810.31, 44,722.38 and 8,749.50 is: 13,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.31 : 44,722.38 = 8,749.50 : x
  2. Step 2: Convert to fraction form
    29,810.31/44,722.38 = 8,749.50/x
  3. Step 3: Cross multiply
    29,810.31x = 44,722.38 × 8,749.50
  4. Step 4: Simplify right side
    29,810.31x = 391,298,463.81
  5. Step 5: Solve for x
    x = 391,298,463.81/29,810.31
  6. Step 6: Final answer
    x = 13,126.28

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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.