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Finding the Fourth Proportional to 27,159.60, 40,741.24 and 7,436.52

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Solution

The fourth proportional to 27,159.60, 40,741.24 and 7,436.52 is: 11,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159.60 : 40,741.24 = 7,436.52 : x
  2. Step 2: Convert to fraction form
    27,159.60/40,741.24 = 7,436.52/x
  3. Step 3: Cross multiply
    27,159.60x = 40,741.24 × 7,436.52
  4. Step 4: Simplify right side
    27,159.60x = 302,973,046.08
  5. Step 5: Solve for x
    x = 302,973,046.08/27,159.60
  6. Step 6: Final answer
    x = 11,155.28

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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.