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Finding the Fourth Proportional to 53,654.68, 80,409.12 and 20,356.84

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Solution

The fourth proportional to 53,654.68, 80,409.12 and 20,356.84 is: 30,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,654.68 : 80,409.12 = 20,356.84 : x
  2. Step 2: Convert to fraction form
    53,654.68/80,409.12 = 20,356.84/x
  3. Step 3: Cross multiply
    53,654.68x = 80,409.12 × 20,356.84
  4. Step 4: Simplify right side
    53,654.68x = 1,636,875,590.38
  5. Step 5: Solve for x
    x = 1,636,875,590.38/53,654.68
  6. Step 6: Final answer
    x = 30,507.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.