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Finding the Fourth Proportional to 53,146.96, 79,727.75 and 23,564.14

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Solution

The fourth proportional to 53,146.96, 79,727.75 and 23,564.14 is: 35,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,146.96 : 79,727.75 = 23,564.14 : x
  2. Step 2: Convert to fraction form
    53,146.96/79,727.75 = 23,564.14/x
  3. Step 3: Cross multiply
    53,146.96x = 79,727.75 × 23,564.14
  4. Step 4: Simplify right side
    53,146.96x = 1,878,715,722.48
  5. Step 5: Solve for x
    x = 1,878,715,722.48/53,146.96
  6. Step 6: Final answer
    x = 35,349.45

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Why These Related Problems?

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