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Finding the Fourth Proportional to 29,096.16, 43,652.76 and 9,374.28

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Solution

The fourth proportional to 29,096.16, 43,652.76 and 9,374.28 is: 14,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,096.16 : 43,652.76 = 9,374.28 : x
  2. Step 2: Convert to fraction form
    29,096.16/43,652.76 = 9,374.28/x
  3. Step 3: Cross multiply
    29,096.16x = 43,652.76 × 9,374.28
  4. Step 4: Simplify right side
    29,096.16x = 409,213,195.01
  5. Step 5: Solve for x
    x = 409,213,195.01/29,096.16
  6. Step 6: Final answer
    x = 14,064.16

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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.