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Finding the Fourth Proportional to 29,983.72, 45,012.84 and 19,419.16

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Solution

The fourth proportional to 29,983.72, 45,012.84 and 19,419.16 is: 29,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983.72 : 45,012.84 = 19,419.16 : x
  2. Step 2: Convert to fraction form
    29,983.72/45,012.84 = 19,419.16/x
  3. Step 3: Cross multiply
    29,983.72x = 45,012.84 × 19,419.16
  4. Step 4: Simplify right side
    29,983.72x = 874,111,542.01
  5. Step 5: Solve for x
    x = 874,111,542.01/29,983.72
  6. Step 6: Final answer
    x = 29,152.87

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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.