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Finding the Fourth Proportional to 35,992.53, 49,678.65 and 24,526.44

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Solution

The fourth proportional to 35,992.53, 49,678.65 and 24,526.44 is: 33,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.53 : 49,678.65 = 24,526.44 : x
  2. Step 2: Convert to fraction form
    35,992.53/49,678.65 = 24,526.44/x
  3. Step 3: Cross multiply
    35,992.53x = 49,678.65 × 24,526.44
  4. Step 4: Simplify right side
    35,992.53x = 1,218,440,428.51
  5. Step 5: Solve for x
    x = 1,218,440,428.51/35,992.53
  6. Step 6: Final answer
    x = 33,852.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.