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Finding the Fourth Proportional to 31,588.84, 47,381.34 and 9,402.28

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Solution

The fourth proportional to 31,588.84, 47,381.34 and 9,402.28 is: 14,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588.84 : 47,381.34 = 9,402.28 : x
  2. Step 2: Convert to fraction form
    31,588.84/47,381.34 = 9,402.28/x
  3. Step 3: Cross multiply
    31,588.84x = 47,381.34 × 9,402.28
  4. Step 4: Simplify right side
    31,588.84x = 445,492,625.46
  5. Step 5: Solve for x
    x = 445,492,625.46/31,588.84
  6. Step 6: Final answer
    x = 14,102.85

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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.