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Finding the Fourth Proportional to 29,977.50, 44,966.25 and 8,089.50

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Solution

The fourth proportional to 29,977.50, 44,966.25 and 8,089.50 is: 12,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.50 : 44,966.25 = 8,089.50 : x
  2. Step 2: Convert to fraction form
    29,977.50/44,966.25 = 8,089.50/x
  3. Step 3: Cross multiply
    29,977.50x = 44,966.25 × 8,089.50
  4. Step 4: Simplify right side
    29,977.50x = 363,754,479.38
  5. Step 5: Solve for x
    x = 363,754,479.38/29,977.50
  6. Step 6: Final answer
    x = 12,134.25

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1.5x scale

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.