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Finding the Fourth Proportional to 31,549.80, 47,348.16 and 14,914.93

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Solution

The fourth proportional to 31,549.80, 47,348.16 and 14,914.93 is: 22,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.80 : 47,348.16 = 14,914.93 : x
  2. Step 2: Convert to fraction form
    31,549.80/47,348.16 = 14,914.93/x
  3. Step 3: Cross multiply
    31,549.80x = 47,348.16 × 14,914.93
  4. Step 4: Simplify right side
    31,549.80x = 706,194,492.03
  5. Step 5: Solve for x
    x = 706,194,492.03/31,549.80
  6. Step 6: Final answer
    x = 22,383.49

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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.