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Finding the Fourth Proportional to 27,033, 40,549.32 and 7,313.58

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Solution

The fourth proportional to 27,033, 40,549.32 and 7,313.58 is: 10,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033 : 40,549.32 = 7,313.58 : x
  2. Step 2: Convert to fraction form
    27,033/40,549.32 = 7,313.58/x
  3. Step 3: Cross multiply
    27,033x = 40,549.32 × 7,313.58
  4. Step 4: Simplify right side
    27,033x = 296,560,695.77
  5. Step 5: Solve for x
    x = 296,560,695.77/27,033
  6. Step 6: Final answer
    x = 10,970.32

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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.