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Finding the Fourth Proportional to 30,076.48, 41,509.76 and 18,140.48

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Solution

The fourth proportional to 30,076.48, 41,509.76 and 18,140.48 is: 25,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.48 : 41,509.76 = 18,140.48 : x
  2. Step 2: Convert to fraction form
    30,076.48/41,509.76 = 18,140.48/x
  3. Step 3: Cross multiply
    30,076.48x = 41,509.76 × 18,140.48
  4. Step 4: Simplify right side
    30,076.48x = 753,006,971.08
  5. Step 5: Solve for x
    x = 753,006,971.08/30,076.48
  6. Step 6: Final answer
    x = 25,036.41

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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.