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Finding the Fourth Proportional to 53,643.48, 73,994.32 and 34,548

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Solution

The fourth proportional to 53,643.48, 73,994.32 and 34,548 is: 47,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.48 : 73,994.32 = 34,548 : x
  2. Step 2: Convert to fraction form
    53,643.48/73,994.32 = 34,548/x
  3. Step 3: Cross multiply
    53,643.48x = 73,994.32 × 34,548
  4. Step 4: Simplify right side
    53,643.48x = 2,556,355,767.36
  5. Step 5: Solve for x
    x = 2,556,355,767.36/53,643.48
  6. Step 6: Final answer
    x = 47,654.55

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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.