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Finding the Fourth Proportional to 52,024.40, 78,028.68 and 16,964

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Solution

The fourth proportional to 52,024.40, 78,028.68 and 16,964 is: 25,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024.40 : 78,028.68 = 16,964 : x
  2. Step 2: Convert to fraction form
    52,024.40/78,028.68 = 16,964/x
  3. Step 3: Cross multiply
    52,024.40x = 78,028.68 × 16,964
  4. Step 4: Simplify right side
    52,024.40x = 1,323,678,527.52
  5. Step 5: Solve for x
    x = 1,323,678,527.52/52,024.40
  6. Step 6: Final answer
    x = 25,443.42

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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.