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Finding the Fourth Proportional to 36,768, 55,152.18 and 9,066

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Solution

The fourth proportional to 36,768, 55,152.18 and 9,066 is: 13,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,768 : 55,152.18 = 9,066 : x
  2. Step 2: Convert to fraction form
    36,768/55,152.18 = 9,066/x
  3. Step 3: Cross multiply
    36,768x = 55,152.18 × 9,066
  4. Step 4: Simplify right side
    36,768x = 500,009,663.88
  5. Step 5: Solve for x
    x = 500,009,663.88/36,768
  6. Step 6: Final answer
    x = 13,599.04

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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.