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Finding the Fourth Proportional to 31,054.35, 46,586.16 and 14,416.08

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Solution

The fourth proportional to 31,054.35, 46,586.16 and 14,416.08 is: 21,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.35 : 46,586.16 = 14,416.08 : x
  2. Step 2: Convert to fraction form
    31,054.35/46,586.16 = 14,416.08/x
  3. Step 3: Cross multiply
    31,054.35x = 46,586.16 × 14,416.08
  4. Step 4: Simplify right side
    31,054.35x = 671,589,809.45
  5. Step 5: Solve for x
    x = 671,589,809.45/31,054.35
  6. Step 6: Final answer
    x = 21,626.27

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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.