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Finding the Fourth Proportional to 52,024.56, 78,045 and 16,956.12

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Solution

The fourth proportional to 52,024.56, 78,045 and 16,956.12 is: 25,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.56 : 78,045 = 16,956.12 : x
  2. Step 2: Convert to fraction form
    52,024.56/78,045 = 16,956.12/x
  3. Step 3: Cross multiply
    52,024.56x = 78,045 × 16,956.12
  4. Step 4: Simplify right side
    52,024.56x = 1,323,340,385.40
  5. Step 5: Solve for x
    x = 1,323,340,385.40/52,024.56
  6. Step 6: Final answer
    x = 25,436.84

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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.