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Finding the Fourth Proportional to 52,616.60, 78,857.70 and 21,416.60

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Solution

The fourth proportional to 52,616.60, 78,857.70 and 21,416.60 is: 32,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616.60 : 78,857.70 = 21,416.60 : x
  2. Step 2: Convert to fraction form
    52,616.60/78,857.70 = 21,416.60/x
  3. Step 3: Cross multiply
    52,616.60x = 78,857.70 × 21,416.60
  4. Step 4: Simplify right side
    52,616.60x = 1,688,863,817.82
  5. Step 5: Solve for x
    x = 1,688,863,817.82/52,616.60
  6. Step 6: Final answer
    x = 32,097.55

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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.