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Finding the Fourth Proportional to 76,235.46, 114,320.79 and 31,225.79

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Solution

The fourth proportional to 76,235.46, 114,320.79 and 31,225.79 is: 46,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,235.46 : 114,320.79 = 31,225.79 : x
  2. Step 2: Convert to fraction form
    76,235.46/114,320.79 = 31,225.79/x
  3. Step 3: Cross multiply
    76,235.46x = 114,320.79 × 31,225.79
  4. Step 4: Simplify right side
    76,235.46x = 3,569,756,409.57
  5. Step 5: Solve for x
    x = 3,569,756,409.57/76,235.46
  6. Step 6: Final answer
    x = 46,825.41

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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.