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Finding the Fourth Proportional to 52,530.76, 78,828.94 and 21,366

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Solution

The fourth proportional to 52,530.76, 78,828.94 and 21,366 is: 32,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,530.76 : 78,828.94 = 21,366 : x
  2. Step 2: Convert to fraction form
    52,530.76/78,828.94 = 21,366/x
  3. Step 3: Cross multiply
    52,530.76x = 78,828.94 × 21,366
  4. Step 4: Simplify right side
    52,530.76x = 1,684,259,132.04
  5. Step 5: Solve for x
    x = 1,684,259,132.04/52,530.76
  6. Step 6: Final answer
    x = 32,062.34

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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.