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Finding the Fourth Proportional to 30,795.52, 42,501.84 and 17,371

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Solution

The fourth proportional to 30,795.52, 42,501.84 and 17,371 is: 23,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.52 : 42,501.84 = 17,371 : x
  2. Step 2: Convert to fraction form
    30,795.52/42,501.84 = 17,371/x
  3. Step 3: Cross multiply
    30,795.52x = 42,501.84 × 17,371
  4. Step 4: Simplify right side
    30,795.52x = 738,299,462.64
  5. Step 5: Solve for x
    x = 738,299,462.64/30,795.52
  6. Step 6: Final answer
    x = 23,974.25

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