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Finding the Fourth Proportional to 31,192.36, 46,762 and 13,649.08

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Solution

The fourth proportional to 31,192.36, 46,762 and 13,649.08 is: 20,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,192.36 : 46,762 = 13,649.08 : x
  2. Step 2: Convert to fraction form
    31,192.36/46,762 = 13,649.08/x
  3. Step 3: Cross multiply
    31,192.36x = 46,762 × 13,649.08
  4. Step 4: Simplify right side
    31,192.36x = 638,258,278.96
  5. Step 5: Solve for x
    x = 638,258,278.96/31,192.36
  6. Step 6: Final answer
    x = 20,462.01

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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.