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Finding the Fourth Proportional to 52,580.84, 78,872.70 and 21,416.36

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Solution

The fourth proportional to 52,580.84, 78,872.70 and 21,416.36 is: 32,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,580.84 : 78,872.70 = 21,416.36 : x
  2. Step 2: Convert to fraction form
    52,580.84/78,872.70 = 21,416.36/x
  3. Step 3: Cross multiply
    52,580.84x = 78,872.70 × 21,416.36
  4. Step 4: Simplify right side
    52,580.84x = 1,689,166,137.37
  5. Step 5: Solve for x
    x = 1,689,166,137.37/52,580.84
  6. Step 6: Final answer
    x = 32,125.13

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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.