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Finding the Fourth Proportional to 29,966.76, 44,938.80 and 9,972.72

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Solution

The fourth proportional to 29,966.76, 44,938.80 and 9,972.72 is: 14,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,966.76 : 44,938.80 = 9,972.72 : x
  2. Step 2: Convert to fraction form
    29,966.76/44,938.80 = 9,972.72/x
  3. Step 3: Cross multiply
    29,966.76x = 44,938.80 × 9,972.72
  4. Step 4: Simplify right side
    29,966.76x = 448,162,069.54
  5. Step 5: Solve for x
    x = 448,162,069.54/29,966.76
  6. Step 6: Final answer
    x = 14,955.31

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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.