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Finding the Fourth Proportional to 29,693.54, 44,544.42 and 9,977.74

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Solution

The fourth proportional to 29,693.54, 44,544.42 and 9,977.74 is: 14,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.54 : 44,544.42 = 9,977.74 : x
  2. Step 2: Convert to fraction form
    29,693.54/44,544.42 = 9,977.74/x
  3. Step 3: Cross multiply
    29,693.54x = 44,544.42 × 9,977.74
  4. Step 4: Simplify right side
    29,693.54x = 444,452,641.21
  5. Step 5: Solve for x
    x = 444,452,641.21/29,693.54
  6. Step 6: Final answer
    x = 14,967.99

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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.