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Finding the Fourth Proportional to 109,746.40, 164,684.40 and 39,616.60

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Solution

The fourth proportional to 109,746.40, 164,684.40 and 39,616.60 is: 59,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,746.40 : 164,684.40 = 39,616.60 : x
  2. Step 2: Convert to fraction form
    109,746.40/164,684.40 = 39,616.60/x
  3. Step 3: Cross multiply
    109,746.40x = 164,684.40 × 39,616.60
  4. Step 4: Simplify right side
    109,746.40x = 6,524,236,001.04
  5. Step 5: Solve for x
    x = 6,524,236,001.04/109,746.40
  6. Step 6: Final answer
    x = 59,448.29

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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.