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Finding the Fourth Proportional to 53,324.96, 73,564.08 and 30,956

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Solution

The fourth proportional to 53,324.96, 73,564.08 and 30,956 is: 42,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,324.96 : 73,564.08 = 30,956 : x
  2. Step 2: Convert to fraction form
    53,324.96/73,564.08 = 30,956/x
  3. Step 3: Cross multiply
    53,324.96x = 73,564.08 × 30,956
  4. Step 4: Simplify right side
    53,324.96x = 2,277,249,660.48
  5. Step 5: Solve for x
    x = 2,277,249,660.48/53,324.96
  6. Step 6: Final answer
    x = 42,705.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.