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Finding the Fourth Proportional to 29,822.38, 44,724.66 and 9,828.14

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Solution

The fourth proportional to 29,822.38, 44,724.66 and 9,828.14 is: 14,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.38 : 44,724.66 = 9,828.14 : x
  2. Step 2: Convert to fraction form
    29,822.38/44,724.66 = 9,828.14/x
  3. Step 3: Cross multiply
    29,822.38x = 44,724.66 × 9,828.14
  4. Step 4: Simplify right side
    29,822.38x = 439,559,959.45
  5. Step 5: Solve for x
    x = 439,559,959.45/29,822.38
  6. Step 6: Final answer
    x = 14,739.27

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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.