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Finding the Fourth Proportional to 29,820.48, 44,730.72 and 29,164.38

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Solution

The fourth proportional to 29,820.48, 44,730.72 and 29,164.38 is: 43,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.48 : 44,730.72 = 29,164.38 : x
  2. Step 2: Convert to fraction form
    29,820.48/44,730.72 = 29,164.38/x
  3. Step 3: Cross multiply
    29,820.48x = 44,730.72 × 29,164.38
  4. Step 4: Simplify right side
    29,820.48x = 1,304,543,715.75
  5. Step 5: Solve for x
    x = 1,304,543,715.75/29,820.48
  6. Step 6: Final answer
    x = 43,746.57

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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.