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Finding the Fourth Proportional to 33,987.60, 50,981.40 and 9,027.60

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Solution

The fourth proportional to 33,987.60, 50,981.40 and 9,027.60 is: 13,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987.60 : 50,981.40 = 9,027.60 : x
  2. Step 2: Convert to fraction form
    33,987.60/50,981.40 = 9,027.60/x
  3. Step 3: Cross multiply
    33,987.60x = 50,981.40 × 9,027.60
  4. Step 4: Simplify right side
    33,987.60x = 460,239,686.64
  5. Step 5: Solve for x
    x = 460,239,686.64/33,987.60
  6. Step 6: Final answer
    x = 13,541.40

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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.