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Finding the Fourth Proportional to 29,969.16, 44,953.74 and 10,247.88

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Solution

The fourth proportional to 29,969.16, 44,953.74 and 10,247.88 is: 15,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.16 : 44,953.74 = 10,247.88 : x
  2. Step 2: Convert to fraction form
    29,969.16/44,953.74 = 10,247.88/x
  3. Step 3: Cross multiply
    29,969.16x = 44,953.74 × 10,247.88
  4. Step 4: Simplify right side
    29,969.16x = 460,680,533.07
  5. Step 5: Solve for x
    x = 460,680,533.07/29,969.16
  6. Step 6: Final answer
    x = 15,371.82

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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.