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Finding the Fourth Proportional to 24,752.36, 37,095.68 and 21,450

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Solution

The fourth proportional to 24,752.36, 37,095.68 and 21,450 is: 32,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752.36 : 37,095.68 = 21,450 : x
  2. Step 2: Convert to fraction form
    24,752.36/37,095.68 = 21,450/x
  3. Step 3: Cross multiply
    24,752.36x = 37,095.68 × 21,450
  4. Step 4: Simplify right side
    24,752.36x = 795,702,336
  5. Step 5: Solve for x
    x = 795,702,336/24,752.36
  6. Step 6: Final answer
    x = 32,146.52

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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.