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Finding the Fourth Proportional to 48,933, 73,403.16 and 13,875.48

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Solution

The fourth proportional to 48,933, 73,403.16 and 13,875.48 is: 20,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,933 : 73,403.16 = 13,875.48 : x
  2. Step 2: Convert to fraction form
    48,933/73,403.16 = 13,875.48/x
  3. Step 3: Cross multiply
    48,933x = 73,403.16 × 13,875.48
  4. Step 4: Simplify right side
    48,933x = 1,018,504,078.52
  5. Step 5: Solve for x
    x = 1,018,504,078.52/48,933
  6. Step 6: Final answer
    x = 20,814.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.