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Finding the Fourth Proportional to 35,526.81, 53,279.11 and 11,828.82

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Solution

The fourth proportional to 35,526.81, 53,279.11 and 11,828.82 is: 17,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,526.81 : 53,279.11 = 11,828.82 : x
  2. Step 2: Convert to fraction form
    35,526.81/53,279.11 = 11,828.82/x
  3. Step 3: Cross multiply
    35,526.81x = 53,279.11 × 11,828.82
  4. Step 4: Simplify right side
    35,526.81x = 630,228,972.38
  5. Step 5: Solve for x
    x = 630,228,972.38/35,526.81
  6. Step 6: Final answer
    x = 17,739.53

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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.