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Finding the Fourth Proportional to 37,728.84, 52,068.90 and 24,328

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Solution

The fourth proportional to 37,728.84, 52,068.90 and 24,328 is: 33,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.84 : 52,068.90 = 24,328 : x
  2. Step 2: Convert to fraction form
    37,728.84/52,068.90 = 24,328/x
  3. Step 3: Cross multiply
    37,728.84x = 52,068.90 × 24,328
  4. Step 4: Simplify right side
    37,728.84x = 1,266,732,199.20
  5. Step 5: Solve for x
    x = 1,266,732,199.20/37,728.84
  6. Step 6: Final answer
    x = 33,574.64

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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.