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Finding the Fourth Proportional to 109,862.40, 164,793.60 and 30,975.60

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Solution

The fourth proportional to 109,862.40, 164,793.60 and 30,975.60 is: 46,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,862.40 : 164,793.60 = 30,975.60 : x
  2. Step 2: Convert to fraction form
    109,862.40/164,793.60 = 30,975.60/x
  3. Step 3: Cross multiply
    109,862.40x = 164,793.60 × 30,975.60
  4. Step 4: Simplify right side
    109,862.40x = 5,104,580,636.16
  5. Step 5: Solve for x
    x = 5,104,580,636.16/109,862.40
  6. Step 6: Final answer
    x = 46,463.40

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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.