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Finding the Fourth Proportional to 109,564.53, 164,248.11 and 39,394.50

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Solution

The fourth proportional to 109,564.53, 164,248.11 and 39,394.50 is: 59,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,564.53 : 164,248.11 = 39,394.50 : x
  2. Step 2: Convert to fraction form
    109,564.53/164,248.11 = 39,394.50/x
  3. Step 3: Cross multiply
    109,564.53x = 164,248.11 × 39,394.50
  4. Step 4: Simplify right side
    109,564.53x = 6,470,472,169.40
  5. Step 5: Solve for x
    x = 6,470,472,169.40/109,564.53
  6. Step 6: Final answer
    x = 59,056.27

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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.