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Finding the Fourth Proportional to 36,711, 55,066.32 and 10,415.79

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Solution

The fourth proportional to 36,711, 55,066.32 and 10,415.79 is: 15,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,711 : 55,066.32 = 10,415.79 : x
  2. Step 2: Convert to fraction form
    36,711/55,066.32 = 10,415.79/x
  3. Step 3: Cross multiply
    36,711x = 55,066.32 × 10,415.79
  4. Step 4: Simplify right side
    36,711x = 573,559,225.19
  5. Step 5: Solve for x
    x = 573,559,225.19/36,711
  6. Step 6: Final answer
    x = 15,623.63

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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.