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Finding the Fourth Proportional to 50,894.78, 76,340.93 and 19,730.03

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Solution

The fourth proportional to 50,894.78, 76,340.93 and 19,730.03 is: 29,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894.78 : 76,340.93 = 19,730.03 : x
  2. Step 2: Convert to fraction form
    50,894.78/76,340.93 = 19,730.03/x
  3. Step 3: Cross multiply
    50,894.78x = 76,340.93 × 19,730.03
  4. Step 4: Simplify right side
    50,894.78x = 1,506,208,358.77
  5. Step 5: Solve for x
    x = 1,506,208,358.77/50,894.78
  6. Step 6: Final answer
    x = 29,594.56

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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.