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Finding the Fourth Proportional to 31,153.47, 46,728.67 and 11,430.49

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Solution

The fourth proportional to 31,153.47, 46,728.67 and 11,430.49 is: 17,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.47 : 46,728.67 = 11,430.49 : x
  2. Step 2: Convert to fraction form
    31,153.47/46,728.67 = 11,430.49/x
  3. Step 3: Cross multiply
    31,153.47x = 46,728.67 × 11,430.49
  4. Step 4: Simplify right side
    31,153.47x = 534,131,722.37
  5. Step 5: Solve for x
    x = 534,131,722.37/31,153.47
  6. Step 6: Final answer
    x = 17,145.17

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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.