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Finding the Fourth Proportional to 31,205.95, 46,807.54 and 8,716.77

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Solution

The fourth proportional to 31,205.95, 46,807.54 and 8,716.77 is: 13,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.95 : 46,807.54 = 8,716.77 : x
  2. Step 2: Convert to fraction form
    31,205.95/46,807.54 = 8,716.77/x
  3. Step 3: Cross multiply
    31,205.95x = 46,807.54 × 8,716.77
  4. Step 4: Simplify right side
    31,205.95x = 408,010,538.65
  5. Step 5: Solve for x
    x = 408,010,538.65/31,205.95
  6. Step 6: Final answer
    x = 13,074.77

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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.