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Finding the Fourth Proportional to 105,873.75, 158,810.63 and 32,001.75

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Solution

The fourth proportional to 105,873.75, 158,810.63 and 32,001.75 is: 48,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873.75 : 158,810.63 = 32,001.75 : x
  2. Step 2: Convert to fraction form
    105,873.75/158,810.63 = 32,001.75/x
  3. Step 3: Cross multiply
    105,873.75x = 158,810.63 × 32,001.75
  4. Step 4: Simplify right side
    105,873.75x = 5,082,217,918.59
  5. Step 5: Solve for x
    x = 5,082,217,918.59/105,873.75
  6. Step 6: Final answer
    x = 48,002.63

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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.