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Finding the Fourth Proportional to 42,774, 59,028.12 and 26,007

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Solution

The fourth proportional to 42,774, 59,028.12 and 26,007 is: 35,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,774 : 59,028.12 = 26,007 : x
  2. Step 2: Convert to fraction form
    42,774/59,028.12 = 26,007/x
  3. Step 3: Cross multiply
    42,774x = 59,028.12 × 26,007
  4. Step 4: Simplify right side
    42,774x = 1,535,144,316.84
  5. Step 5: Solve for x
    x = 1,535,144,316.84/42,774
  6. Step 6: Final answer
    x = 35,889.66

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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.