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Finding the Fourth Proportional to 29,963.72, 44,935.84 and 9,967.84

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Solution

The fourth proportional to 29,963.72, 44,935.84 and 9,967.84 is: 14,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,963.72 : 44,935.84 = 9,967.84 : x
  2. Step 2: Convert to fraction form
    29,963.72/44,935.84 = 9,967.84/x
  3. Step 3: Cross multiply
    29,963.72x = 44,935.84 × 9,967.84
  4. Step 4: Simplify right side
    29,963.72x = 447,913,263.39
  5. Step 5: Solve for x
    x = 447,913,263.39/29,963.72
  6. Step 6: Final answer
    x = 14,948.52

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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.