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Finding the Fourth Proportional to 31,482.04, 46,992.73 and 27,745.46

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Solution

The fourth proportional to 31,482.04, 46,992.73 and 27,745.46 is: 41,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.04 : 46,992.73 = 27,745.46 : x
  2. Step 2: Convert to fraction form
    31,482.04/46,992.73 = 27,745.46/x
  3. Step 3: Cross multiply
    31,482.04x = 46,992.73 × 27,745.46
  4. Step 4: Simplify right side
    31,482.04x = 1,303,834,910.51
  5. Step 5: Solve for x
    x = 1,303,834,910.51/31,482.04
  6. Step 6: Final answer
    x = 41,415.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.