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Finding the Fourth Proportional to 37,528, 51,784.14 and 21,617.62

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Solution

The fourth proportional to 37,528, 51,784.14 and 21,617.62 is: 29,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,528 : 51,784.14 = 21,617.62 : x
  2. Step 2: Convert to fraction form
    37,528/51,784.14 = 21,617.62/x
  3. Step 3: Cross multiply
    37,528x = 51,784.14 × 21,617.62
  4. Step 4: Simplify right side
    37,528x = 1,119,449,860.55
  5. Step 5: Solve for x
    x = 1,119,449,860.55/37,528
  6. Step 6: Final answer
    x = 29,829.72

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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.