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Finding the Fourth Proportional to 31,628.48, 47,459.16 and 14,094.20

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Solution

The fourth proportional to 31,628.48, 47,459.16 and 14,094.20 is: 21,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628.48 : 47,459.16 = 14,094.20 : x
  2. Step 2: Convert to fraction form
    31,628.48/47,459.16 = 14,094.20/x
  3. Step 3: Cross multiply
    31,628.48x = 47,459.16 × 14,094.20
  4. Step 4: Simplify right side
    31,628.48x = 668,898,892.87
  5. Step 5: Solve for x
    x = 668,898,892.87/31,628.48
  6. Step 6: Final answer
    x = 21,148.63

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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.