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Finding the Fourth Proportional to 29,981.52, 44,973 and 10,259.94

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Solution

The fourth proportional to 29,981.52, 44,973 and 10,259.94 is: 15,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981.52 : 44,973 = 10,259.94 : x
  2. Step 2: Convert to fraction form
    29,981.52/44,973 = 10,259.94/x
  3. Step 3: Cross multiply
    29,981.52x = 44,973 × 10,259.94
  4. Step 4: Simplify right side
    29,981.52x = 461,420,281.62
  5. Step 5: Solve for x
    x = 461,420,281.62/29,981.52
  6. Step 6: Final answer
    x = 15,390.16

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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.