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Finding the Fourth Proportional to 53,992.34, 74,511 and 30,118.50

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Solution

The fourth proportional to 53,992.34, 74,511 and 30,118.50 is: 41,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,992.34 : 74,511 = 30,118.50 : x
  2. Step 2: Convert to fraction form
    53,992.34/74,511 = 30,118.50/x
  3. Step 3: Cross multiply
    53,992.34x = 74,511 × 30,118.50
  4. Step 4: Simplify right side
    53,992.34x = 2,244,159,553.50
  5. Step 5: Solve for x
    x = 2,244,159,553.50/53,992.34
  6. Step 6: Final answer
    x = 41,564.41

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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.