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Finding the Fourth Proportional to 34,762.83, 47,972.41 and 19,658.46

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Solution

The fourth proportional to 34,762.83, 47,972.41 and 19,658.46 is: 27,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.83 : 47,972.41 = 19,658.46 : x
  2. Step 2: Convert to fraction form
    34,762.83/47,972.41 = 19,658.46/x
  3. Step 3: Cross multiply
    34,762.83x = 47,972.41 × 19,658.46
  4. Step 4: Simplify right side
    34,762.83x = 943,063,674.57
  5. Step 5: Solve for x
    x = 943,063,674.57/34,762.83
  6. Step 6: Final answer
    x = 27,128.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.