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Finding the Fourth Proportional to 105,853.72, 158,770.80 and 35,733.64

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Solution

The fourth proportional to 105,853.72, 158,770.80 and 35,733.64 is: 53,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,853.72 : 158,770.80 = 35,733.64 : x
  2. Step 2: Convert to fraction form
    105,853.72/158,770.80 = 35,733.64/x
  3. Step 3: Cross multiply
    105,853.72x = 158,770.80 × 35,733.64
  4. Step 4: Simplify right side
    105,853.72x = 5,673,458,609.71
  5. Step 5: Solve for x
    x = 5,673,458,609.71/105,853.72
  6. Step 6: Final answer
    x = 53,597.16

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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.