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Finding the Fourth Proportional to 36,275.76, 54,402.12 and 11,646

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Solution

The fourth proportional to 36,275.76, 54,402.12 and 11,646 is: 17,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,275.76 : 54,402.12 = 11,646 : x
  2. Step 2: Convert to fraction form
    36,275.76/54,402.12 = 11,646/x
  3. Step 3: Cross multiply
    36,275.76x = 54,402.12 × 11,646
  4. Step 4: Simplify right side
    36,275.76x = 633,567,089.52
  5. Step 5: Solve for x
    x = 633,567,089.52/36,275.76
  6. Step 6: Final answer
    x = 17,465.30

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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.