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Finding the Fourth Proportional to 65,509.83, 98,194.68 and 33,888.06

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Solution

The fourth proportional to 65,509.83, 98,194.68 and 33,888.06 is: 50,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.83 : 98,194.68 = 33,888.06 : x
  2. Step 2: Convert to fraction form
    65,509.83/98,194.68 = 33,888.06/x
  3. Step 3: Cross multiply
    65,509.83x = 98,194.68 × 33,888.06
  4. Step 4: Simplify right side
    65,509.83x = 3,327,627,207.52
  5. Step 5: Solve for x
    x = 3,327,627,207.52/65,509.83
  6. Step 6: Final answer
    x = 50,795.85

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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.