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Finding the Fourth Proportional to 97,408.82, 146,111.63 and 30,848.84

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Solution

The fourth proportional to 97,408.82, 146,111.63 and 30,848.84 is: 46,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,408.82 : 146,111.63 = 30,848.84 : x
  2. Step 2: Convert to fraction form
    97,408.82/146,111.63 = 30,848.84/x
  3. Step 3: Cross multiply
    97,408.82x = 146,111.63 × 30,848.84
  4. Step 4: Simplify right side
    97,408.82x = 4,507,373,411.21
  5. Step 5: Solve for x
    x = 4,507,373,411.21/97,408.82
  6. Step 6: Final answer
    x = 46,272.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.