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Finding the Fourth Proportional to 37,946.68, 52,368.14 and 21,819.22

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Solution

The fourth proportional to 37,946.68, 52,368.14 and 21,819.22 is: 30,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,946.68 : 52,368.14 = 21,819.22 : x
  2. Step 2: Convert to fraction form
    37,946.68/52,368.14 = 21,819.22/x
  3. Step 3: Cross multiply
    37,946.68x = 52,368.14 × 21,819.22
  4. Step 4: Simplify right side
    37,946.68x = 1,142,631,967.65
  5. Step 5: Solve for x
    x = 1,142,631,967.65/37,946.68
  6. Step 6: Final answer
    x = 30,111.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.