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Finding the Fourth Proportional to 82,264.34, 123,232.08 and 37,830.20

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Solution

The fourth proportional to 82,264.34, 123,232.08 and 37,830.20 is: 56,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,264.34 : 123,232.08 = 37,830.20 : x
  2. Step 2: Convert to fraction form
    82,264.34/123,232.08 = 37,830.20/x
  3. Step 3: Cross multiply
    82,264.34x = 123,232.08 × 37,830.20
  4. Step 4: Simplify right side
    82,264.34x = 4,661,894,232.82
  5. Step 5: Solve for x
    x = 4,661,894,232.82/82,264.34
  6. Step 6: Final answer
    x = 56,669.68

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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.