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Finding the Fourth Proportional to 56,813.47, 78,408.13 and 42,448.37

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Solution

The fourth proportional to 56,813.47, 78,408.13 and 42,448.37 is: 58,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,813.47 : 78,408.13 = 42,448.37 : x
  2. Step 2: Convert to fraction form
    56,813.47/78,408.13 = 42,448.37/x
  3. Step 3: Cross multiply
    56,813.47x = 78,408.13 × 42,448.37
  4. Step 4: Simplify right side
    56,813.47x = 3,328,297,216.34
  5. Step 5: Solve for x
    x = 3,328,297,216.34/56,813.47
  6. Step 6: Final answer
    x = 58,582.89

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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.