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Finding the Fourth Proportional to 37,729.84, 52,070.28 and 24,329

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Solution

The fourth proportional to 37,729.84, 52,070.28 and 24,329 is: 33,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729.84 : 52,070.28 = 24,329 : x
  2. Step 2: Convert to fraction form
    37,729.84/52,070.28 = 24,329/x
  3. Step 3: Cross multiply
    37,729.84x = 52,070.28 × 24,329
  4. Step 4: Simplify right side
    37,729.84x = 1,266,817,842.12
  5. Step 5: Solve for x
    x = 1,266,817,842.12/37,729.84
  6. Step 6: Final answer
    x = 33,576.02

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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.