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Finding the Fourth Proportional to 47,009.48, 70,514.44 and 15,845

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Solution

The fourth proportional to 47,009.48, 70,514.44 and 15,845 is: 23,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,009.48 : 70,514.44 = 15,845 : x
  2. Step 2: Convert to fraction form
    47,009.48/70,514.44 = 15,845/x
  3. Step 3: Cross multiply
    47,009.48x = 70,514.44 × 15,845
  4. Step 4: Simplify right side
    47,009.48x = 1,117,301,301.80
  5. Step 5: Solve for x
    x = 1,117,301,301.80/47,009.48
  6. Step 6: Final answer
    x = 23,767.57

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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.