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Finding the Fourth Proportional to 31,083, 46,507.86 and 19,341.24

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Solution

The fourth proportional to 31,083, 46,507.86 and 19,341.24 is: 28,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083 : 46,507.86 = 19,341.24 : x
  2. Step 2: Convert to fraction form
    31,083/46,507.86 = 19,341.24/x
  3. Step 3: Cross multiply
    31,083x = 46,507.86 × 19,341.24
  4. Step 4: Simplify right side
    31,083x = 899,519,682.15
  5. Step 5: Solve for x
    x = 899,519,682.15/31,083
  6. Step 6: Final answer
    x = 28,939.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.