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Finding the Fourth Proportional to 31,019.94, 46,537.73 and 9,961.88

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Solution

The fourth proportional to 31,019.94, 46,537.73 and 9,961.88 is: 14,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.94 : 46,537.73 = 9,961.88 : x
  2. Step 2: Convert to fraction form
    31,019.94/46,537.73 = 9,961.88/x
  3. Step 3: Cross multiply
    31,019.94x = 46,537.73 × 9,961.88
  4. Step 4: Simplify right side
    31,019.94x = 463,602,999.23
  5. Step 5: Solve for x
    x = 463,602,999.23/31,019.94
  6. Step 6: Final answer
    x = 14,945.32

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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.