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Finding the Fourth Proportional to 188,627.60, 282,941.49 and 48,386.27

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Solution

The fourth proportional to 188,627.60, 282,941.49 and 48,386.27 is: 72,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,627.60 : 282,941.49 = 48,386.27 : x
  2. Step 2: Convert to fraction form
    188,627.60/282,941.49 = 48,386.27/x
  3. Step 3: Cross multiply
    188,627.60x = 282,941.49 × 48,386.27
  4. Step 4: Simplify right side
    188,627.60x = 13,690,483,329.34
  5. Step 5: Solve for x
    x = 13,690,483,329.34/188,627.60
  6. Step 6: Final answer
    x = 72,579.43

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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.