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Finding the Fourth Proportional to 82,414.37, 123,547.73 and 42,926.26

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Solution

The fourth proportional to 82,414.37, 123,547.73 and 42,926.26 is: 64,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.37 : 123,547.73 = 42,926.26 : x
  2. Step 2: Convert to fraction form
    82,414.37/123,547.73 = 42,926.26/x
  3. Step 3: Cross multiply
    82,414.37x = 123,547.73 × 42,926.26
  4. Step 4: Simplify right side
    82,414.37x = 5,303,441,980.39
  5. Step 5: Solve for x
    x = 5,303,441,980.39/82,414.37
  6. Step 6: Final answer
    x = 64,350.94

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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.