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Finding the Fourth Proportional to 82,061.90, 123,043.64 and 37,633

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Solution

The fourth proportional to 82,061.90, 123,043.64 and 37,633 is: 56,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,061.90 : 123,043.64 = 37,633 : x
  2. Step 2: Convert to fraction form
    82,061.90/123,043.64 = 37,633/x
  3. Step 3: Cross multiply
    82,061.90x = 123,043.64 × 37,633
  4. Step 4: Simplify right side
    82,061.90x = 4,630,501,304.12
  5. Step 5: Solve for x
    x = 4,630,501,304.12/82,061.90
  6. Step 6: Final answer
    x = 56,426.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.