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Finding the Fourth Proportional to 30,992.38, 42,768.58 and 17,564.87

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Solution

The fourth proportional to 30,992.38, 42,768.58 and 17,564.87 is: 24,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.38 : 42,768.58 = 17,564.87 : x
  2. Step 2: Convert to fraction form
    30,992.38/42,768.58 = 17,564.87/x
  3. Step 3: Cross multiply
    30,992.38x = 42,768.58 × 17,564.87
  4. Step 4: Simplify right side
    30,992.38x = 751,224,547.78
  5. Step 5: Solve for x
    x = 751,224,547.78/30,992.38
  6. Step 6: Final answer
    x = 24,239.01

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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.