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Finding the Fourth Proportional to 29,783.04, 44,627.04 and 15,742.56

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Solution

The fourth proportional to 29,783.04, 44,627.04 and 15,742.56 is: 23,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.04 : 44,627.04 = 15,742.56 : x
  2. Step 2: Convert to fraction form
    29,783.04/44,627.04 = 15,742.56/x
  3. Step 3: Cross multiply
    29,783.04x = 44,627.04 × 15,742.56
  4. Step 4: Simplify right side
    29,783.04x = 702,543,854.82
  5. Step 5: Solve for x
    x = 702,543,854.82/29,783.04
  6. Step 6: Final answer
    x = 23,588.72

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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.