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Finding the Fourth Proportional to 32,950.82, 49,416.01 and 11,888.13

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Solution

The fourth proportional to 32,950.82, 49,416.01 and 11,888.13 is: 17,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.82 : 49,416.01 = 11,888.13 : x
  2. Step 2: Convert to fraction form
    32,950.82/49,416.01 = 11,888.13/x
  3. Step 3: Cross multiply
    32,950.82x = 49,416.01 × 11,888.13
  4. Step 4: Simplify right side
    32,950.82x = 587,463,703.88
  5. Step 5: Solve for x
    x = 587,463,703.88/32,950.82
  6. Step 6: Final answer
    x = 17,828.50

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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.