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Finding the Fourth Proportional to 82,460.66, 123,607.89 and 32,521.46

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Solution

The fourth proportional to 82,460.66, 123,607.89 and 32,521.46 is: 48,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,460.66 : 123,607.89 = 32,521.46 : x
  2. Step 2: Convert to fraction form
    82,460.66/123,607.89 = 32,521.46/x
  3. Step 3: Cross multiply
    82,460.66x = 123,607.89 × 32,521.46
  4. Step 4: Simplify right side
    82,460.66x = 4,019,908,432.28
  5. Step 5: Solve for x
    x = 4,019,908,432.28/82,460.66
  6. Step 6: Final answer
    x = 48,749.41

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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.