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Finding the Fourth Proportional to 96,114.16, 144,222.92 and 39,993

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Solution

The fourth proportional to 96,114.16, 144,222.92 and 39,993 is: 60,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,114.16 : 144,222.92 = 39,993 : x
  2. Step 2: Convert to fraction form
    96,114.16/144,222.92 = 39,993/x
  3. Step 3: Cross multiply
    96,114.16x = 144,222.92 × 39,993
  4. Step 4: Simplify right side
    96,114.16x = 5,767,907,239.56
  5. Step 5: Solve for x
    x = 5,767,907,239.56/96,114.16
  6. Step 6: Final answer
    x = 60,011.00

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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.