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Finding the Fourth Proportional to 31,510.88, 47,263.44 and 9,622.88

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Solution

The fourth proportional to 31,510.88, 47,263.44 and 9,622.88 is: 14,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.88 : 47,263.44 = 9,622.88 : x
  2. Step 2: Convert to fraction form
    31,510.88/47,263.44 = 9,622.88/x
  3. Step 3: Cross multiply
    31,510.88x = 47,263.44 × 9,622.88
  4. Step 4: Simplify right side
    31,510.88x = 454,810,411.51
  5. Step 5: Solve for x
    x = 454,810,411.51/31,510.88
  6. Step 6: Final answer
    x = 14,433.44

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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.