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Finding the Fourth Proportional to 31,663.84, 47,512.02 and 14,145.16

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Solution

The fourth proportional to 31,663.84, 47,512.02 and 14,145.16 is: 21,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.84 : 47,512.02 = 14,145.16 : x
  2. Step 2: Convert to fraction form
    31,663.84/47,512.02 = 14,145.16/x
  3. Step 3: Cross multiply
    31,663.84x = 47,512.02 × 14,145.16
  4. Step 4: Simplify right side
    31,663.84x = 672,065,124.82
  5. Step 5: Solve for x
    x = 672,065,124.82/31,663.84
  6. Step 6: Final answer
    x = 21,225.00

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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.