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Finding the Fourth Proportional to 53,434.10, 80,178.50 and 21,867.50

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Solution

The fourth proportional to 53,434.10, 80,178.50 and 21,867.50 is: 32,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,434.10 : 80,178.50 = 21,867.50 : x
  2. Step 2: Convert to fraction form
    53,434.10/80,178.50 = 21,867.50/x
  3. Step 3: Cross multiply
    53,434.10x = 80,178.50 × 21,867.50
  4. Step 4: Simplify right side
    53,434.10x = 1,753,303,603.87
  5. Step 5: Solve for x
    x = 1,753,303,603.87/53,434.10
  6. Step 6: Final answer
    x = 32,812.45

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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.