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Finding the Fourth Proportional to 31,235.95, 46,853.88 and 10,175.95

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Solution

The fourth proportional to 31,235.95, 46,853.88 and 10,175.95 is: 15,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.95 : 46,853.88 = 10,175.95 : x
  2. Step 2: Convert to fraction form
    31,235.95/46,853.88 = 10,175.95/x
  3. Step 3: Cross multiply
    31,235.95x = 46,853.88 × 10,175.95
  4. Step 4: Simplify right side
    31,235.95x = 476,782,857.32
  5. Step 5: Solve for x
    x = 476,782,857.32/31,235.95
  6. Step 6: Final answer
    x = 15,263.92

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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.