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Finding the Fourth Proportional to 53,654.81, 80,482.61 and 20,365.90

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Solution

The fourth proportional to 53,654.81, 80,482.61 and 20,365.90 is: 30,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,654.81 : 80,482.61 = 20,365.90 : x
  2. Step 2: Convert to fraction form
    53,654.81/80,482.61 = 20,365.90/x
  3. Step 3: Cross multiply
    53,654.81x = 80,482.61 × 20,365.90
  4. Step 4: Simplify right side
    53,654.81x = 1,639,100,636.71
  5. Step 5: Solve for x
    x = 1,639,100,636.71/53,654.81
  6. Step 6: Final answer
    x = 30,549.00

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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.