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Finding the Fourth Proportional to 107,303, 160,902.12 and 32,408.78

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Solution

The fourth proportional to 107,303, 160,902.12 and 32,408.78 is: 48,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,303 : 160,902.12 = 32,408.78 : x
  2. Step 2: Convert to fraction form
    107,303/160,902.12 = 32,408.78/x
  3. Step 3: Cross multiply
    107,303x = 160,902.12 × 32,408.78
  4. Step 4: Simplify right side
    107,303x = 5,214,641,408.61
  5. Step 5: Solve for x
    x = 5,214,641,408.61/107,303
  6. Step 6: Final answer
    x = 48,597.35

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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.