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Finding the Fourth Proportional to 29,977.68, 44,966.18 and 7,791.06

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Solution

The fourth proportional to 29,977.68, 44,966.18 and 7,791.06 is: 11,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.68 : 44,966.18 = 7,791.06 : x
  2. Step 2: Convert to fraction form
    29,977.68/44,966.18 = 7,791.06/x
  3. Step 3: Cross multiply
    29,977.68x = 44,966.18 × 7,791.06
  4. Step 4: Simplify right side
    29,977.68x = 350,334,206.35
  5. Step 5: Solve for x
    x = 350,334,206.35/29,977.68
  6. Step 6: Final answer
    x = 11,686.50

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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.