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Finding the Fourth Proportional to 53,474.79, 80,185.17 and 31,294.83

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Solution

The fourth proportional to 53,474.79, 80,185.17 and 31,294.83 is: 46,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474.79 : 80,185.17 = 31,294.83 : x
  2. Step 2: Convert to fraction form
    53,474.79/80,185.17 = 31,294.83/x
  3. Step 3: Cross multiply
    53,474.79x = 80,185.17 × 31,294.83
  4. Step 4: Simplify right side
    53,474.79x = 2,509,381,263.67
  5. Step 5: Solve for x
    x = 2,509,381,263.67/53,474.79
  6. Step 6: Final answer
    x = 46,926.44

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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.