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Finding the Fourth Proportional to 38,535, 53,182.62 and 21,769.08

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Solution

The fourth proportional to 38,535, 53,182.62 and 21,769.08 is: 30,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535 : 53,182.62 = 21,769.08 : x
  2. Step 2: Convert to fraction form
    38,535/53,182.62 = 21,769.08/x
  3. Step 3: Cross multiply
    38,535x = 53,182.62 × 21,769.08
  4. Step 4: Simplify right side
    38,535x = 1,157,736,709.39
  5. Step 5: Solve for x
    x = 1,157,736,709.39/38,535
  6. Step 6: Final answer
    x = 30,043.77

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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.