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Finding the Fourth Proportional to 31,662.84, 47,510.52 and 14,144.16

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Solution

The fourth proportional to 31,662.84, 47,510.52 and 14,144.16 is: 21,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.84 : 47,510.52 = 14,144.16 : x
  2. Step 2: Convert to fraction form
    31,662.84/47,510.52 = 14,144.16/x
  3. Step 3: Cross multiply
    31,662.84x = 47,510.52 × 14,144.16
  4. Step 4: Simplify right side
    31,662.84x = 671,996,396.56
  5. Step 5: Solve for x
    x = 671,996,396.56/31,662.84
  6. Step 6: Final answer
    x = 21,223.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.