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Finding the Fourth Proportional to 37,841.68, 52,221 and 21,074.80

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Solution

The fourth proportional to 37,841.68, 52,221 and 21,074.80 is: 29,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,841.68 : 52,221 = 21,074.80 : x
  2. Step 2: Convert to fraction form
    37,841.68/52,221 = 21,074.80/x
  3. Step 3: Cross multiply
    37,841.68x = 52,221 × 21,074.80
  4. Step 4: Simplify right side
    37,841.68x = 1,100,547,130.80
  5. Step 5: Solve for x
    x = 1,100,547,130.80/37,841.68
  6. Step 6: Final answer
    x = 29,082.94

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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.