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Finding the Fourth Proportional to 50,784.70, 70,065.92 and 29,559.46

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Solution

The fourth proportional to 50,784.70, 70,065.92 and 29,559.46 is: 40,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784.70 : 70,065.92 = 29,559.46 : x
  2. Step 2: Convert to fraction form
    50,784.70/70,065.92 = 29,559.46/x
  3. Step 3: Cross multiply
    50,784.70x = 70,065.92 × 29,559.46
  4. Step 4: Simplify right side
    50,784.70x = 2,071,110,759.60
  5. Step 5: Solve for x
    x = 2,071,110,759.60/50,784.70
  6. Step 6: Final answer
    x = 40,782.18

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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.