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Finding the Fourth Proportional to 29,782.71, 44,632.71 and 13,117.77

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Solution

The fourth proportional to 29,782.71, 44,632.71 and 13,117.77 is: 19,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.71 : 44,632.71 = 13,117.77 : x
  2. Step 2: Convert to fraction form
    29,782.71/44,632.71 = 13,117.77/x
  3. Step 3: Cross multiply
    29,782.71x = 44,632.71 × 13,117.77
  4. Step 4: Simplify right side
    29,782.71x = 585,481,624.26
  5. Step 5: Solve for x
    x = 585,481,624.26/29,782.71
  6. Step 6: Final answer
    x = 19,658.44

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1.5x scale

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.