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Finding the Fourth Proportional to 29,829.01, 44,742.48 and 7,642.57

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Solution

The fourth proportional to 29,829.01, 44,742.48 and 7,642.57 is: 11,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.01 : 44,742.48 = 7,642.57 : x
  2. Step 2: Convert to fraction form
    29,829.01/44,742.48 = 7,642.57/x
  3. Step 3: Cross multiply
    29,829.01x = 44,742.48 × 7,642.57
  4. Step 4: Simplify right side
    29,829.01x = 341,947,535.37
  5. Step 5: Solve for x
    x = 341,947,535.37/29,829.01
  6. Step 6: Final answer
    x = 11,463.59

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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.