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Finding the Fourth Proportional to 42,771, 59,023.98 and 26,004

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Solution

The fourth proportional to 42,771, 59,023.98 and 26,004 is: 35,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771 : 59,023.98 = 26,004 : x
  2. Step 2: Convert to fraction form
    42,771/59,023.98 = 26,004/x
  3. Step 3: Cross multiply
    42,771x = 59,023.98 × 26,004
  4. Step 4: Simplify right side
    42,771x = 1,534,859,575.92
  5. Step 5: Solve for x
    x = 1,534,859,575.92/42,771
  6. Step 6: Final answer
    x = 35,885.52

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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.