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Finding the Fourth Proportional to 29,970.71, 44,944.98 and 10,243.97

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Solution

The fourth proportional to 29,970.71, 44,944.98 and 10,243.97 is: 15,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.71 : 44,944.98 = 10,243.97 : x
  2. Step 2: Convert to fraction form
    29,970.71/44,944.98 = 10,243.97/x
  3. Step 3: Cross multiply
    29,970.71x = 44,944.98 × 10,243.97
  4. Step 4: Simplify right side
    29,970.71x = 460,414,932.17
  5. Step 5: Solve for x
    x = 460,414,932.17/29,970.71
  6. Step 6: Final answer
    x = 15,362.16

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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.