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Finding the Fourth Proportional to 86,109.84, 118,835.10 and 48,384

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Solution

The fourth proportional to 86,109.84, 118,835.10 and 48,384 is: 66,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,109.84 : 118,835.10 = 48,384 : x
  2. Step 2: Convert to fraction form
    86,109.84/118,835.10 = 48,384/x
  3. Step 3: Cross multiply
    86,109.84x = 118,835.10 × 48,384
  4. Step 4: Simplify right side
    86,109.84x = 5,749,717,478.40
  5. Step 5: Solve for x
    x = 5,749,717,478.40/86,109.84
  6. Step 6: Final answer
    x = 66,771.90

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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.