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Finding the Fourth Proportional to 31,054.84, 46,586.92 and 14,416.58

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Solution

The fourth proportional to 31,054.84, 46,586.92 and 14,416.58 is: 21,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.84 : 46,586.92 = 14,416.58 : x
  2. Step 2: Convert to fraction form
    31,054.84/46,586.92 = 14,416.58/x
  3. Step 3: Cross multiply
    31,054.84x = 46,586.92 × 14,416.58
  4. Step 4: Simplify right side
    31,054.84x = 671,624,059.13
  5. Step 5: Solve for x
    x = 671,624,059.13/31,054.84
  6. Step 6: Final answer
    x = 21,627.03

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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.