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Finding the Fourth Proportional to 29,002.50, 43,503.93 and 10,282.98

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Solution

The fourth proportional to 29,002.50, 43,503.93 and 10,282.98 is: 15,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,002.50 : 43,503.93 = 10,282.98 : x
  2. Step 2: Convert to fraction form
    29,002.50/43,503.93 = 10,282.98/x
  3. Step 3: Cross multiply
    29,002.50x = 43,503.93 × 10,282.98
  4. Step 4: Simplify right side
    29,002.50x = 447,350,042.11
  5. Step 5: Solve for x
    x = 447,350,042.11/29,002.50
  6. Step 6: Final answer
    x = 15,424.53

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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.