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Finding the Fourth Proportional to 29,701.94, 44,553.33 and 9,980.64

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Solution

The fourth proportional to 29,701.94, 44,553.33 and 9,980.64 is: 14,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,701.94 : 44,553.33 = 9,980.64 : x
  2. Step 2: Convert to fraction form
    29,701.94/44,553.33 = 9,980.64/x
  3. Step 3: Cross multiply
    29,701.94x = 44,553.33 × 9,980.64
  4. Step 4: Simplify right side
    29,701.94x = 444,670,747.53
  5. Step 5: Solve for x
    x = 444,670,747.53/29,701.94
  6. Step 6: Final answer
    x = 14,971.10

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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.