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Finding the Fourth Proportional to 53,322.48, 73,585.80 and 30,966.48

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Solution

The fourth proportional to 53,322.48, 73,585.80 and 30,966.48 is: 42,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,322.48 : 73,585.80 = 30,966.48 : x
  2. Step 2: Convert to fraction form
    53,322.48/73,585.80 = 30,966.48/x
  3. Step 3: Cross multiply
    53,322.48x = 73,585.80 × 30,966.48
  4. Step 4: Simplify right side
    53,322.48x = 2,278,693,203.98
  5. Step 5: Solve for x
    x = 2,278,693,203.98/53,322.48
  6. Step 6: Final answer
    x = 42,734.19

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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.