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Finding the Fourth Proportional to 76,837.50, 106,036.92 and 43,303.50

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Solution

The fourth proportional to 76,837.50, 106,036.92 and 43,303.50 is: 59,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,837.50 : 106,036.92 = 43,303.50 : x
  2. Step 2: Convert to fraction form
    76,837.50/106,036.92 = 43,303.50/x
  3. Step 3: Cross multiply
    76,837.50x = 106,036.92 × 43,303.50
  4. Step 4: Simplify right side
    76,837.50x = 4,591,769,765.22
  5. Step 5: Solve for x
    x = 4,591,769,765.22/76,837.50
  6. Step 6: Final answer
    x = 59,759.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.