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Finding the Fourth Proportional to 56,064.36, 77,408.34 and 35,973

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Solution

The fourth proportional to 56,064.36, 77,408.34 and 35,973 is: 49,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064.36 : 77,408.34 = 35,973 : x
  2. Step 2: Convert to fraction form
    56,064.36/77,408.34 = 35,973/x
  3. Step 3: Cross multiply
    56,064.36x = 77,408.34 × 35,973
  4. Step 4: Simplify right side
    56,064.36x = 2,784,610,214.82
  5. Step 5: Solve for x
    x = 2,784,610,214.82/56,064.36
  6. Step 6: Final answer
    x = 49,668.10

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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.