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Finding the Fourth Proportional to 35,433.50, 53,150.04 and 9,138.20

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Solution

The fourth proportional to 35,433.50, 53,150.04 and 9,138.20 is: 13,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,433.50 : 53,150.04 = 9,138.20 : x
  2. Step 2: Convert to fraction form
    35,433.50/53,150.04 = 9,138.20/x
  3. Step 3: Cross multiply
    35,433.50x = 53,150.04 × 9,138.20
  4. Step 4: Simplify right side
    35,433.50x = 485,695,695.53
  5. Step 5: Solve for x
    x = 485,695,695.53/35,433.50
  6. Step 6: Final answer
    x = 13,707.25

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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.