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Finding the Fourth Proportional to 29,660.94, 44,496.54 and 9,941.40

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Solution

The fourth proportional to 29,660.94, 44,496.54 and 9,941.40 is: 14,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,660.94 : 44,496.54 = 9,941.40 : x
  2. Step 2: Convert to fraction form
    29,660.94/44,496.54 = 9,941.40/x
  3. Step 3: Cross multiply
    29,660.94x = 44,496.54 × 9,941.40
  4. Step 4: Simplify right side
    29,660.94x = 442,357,902.76
  5. Step 5: Solve for x
    x = 442,357,902.76/29,660.94
  6. Step 6: Final answer
    x = 14,913.82

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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.