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Finding the Fourth Proportional to 36,036, 54,053.76 and 9,743.40

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Solution

The fourth proportional to 36,036, 54,053.76 and 9,743.40 is: 14,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,036 : 54,053.76 = 9,743.40 : x
  2. Step 2: Convert to fraction form
    36,036/54,053.76 = 9,743.40/x
  3. Step 3: Cross multiply
    36,036x = 54,053.76 × 9,743.40
  4. Step 4: Simplify right side
    36,036x = 526,667,405.18
  5. Step 5: Solve for x
    x = 526,667,405.18/36,036
  6. Step 6: Final answer
    x = 14,615.04

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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.