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Finding the Fourth Proportional to 42,777, 59,032.26 and 26,010

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Solution

The fourth proportional to 42,777, 59,032.26 and 26,010 is: 35,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777 : 59,032.26 = 26,010 : x
  2. Step 2: Convert to fraction form
    42,777/59,032.26 = 26,010/x
  3. Step 3: Cross multiply
    42,777x = 59,032.26 × 26,010
  4. Step 4: Simplify right side
    42,777x = 1,535,429,082.60
  5. Step 5: Solve for x
    x = 1,535,429,082.60/42,777
  6. Step 6: Final answer
    x = 35,893.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.