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Finding the Fourth Proportional to 29,002.50, 43,503.75 and 7,114.50

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Solution

The fourth proportional to 29,002.50, 43,503.75 and 7,114.50 is: 10,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,002.50 : 43,503.75 = 7,114.50 : x
  2. Step 2: Convert to fraction form
    29,002.50/43,503.75 = 7,114.50/x
  3. Step 3: Cross multiply
    29,002.50x = 43,503.75 × 7,114.50
  4. Step 4: Simplify right side
    29,002.50x = 309,507,429.38
  5. Step 5: Solve for x
    x = 309,507,429.38/29,002.50
  6. Step 6: Final answer
    x = 10,671.75

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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.