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Finding the Fourth Proportional to 31,005.50, 46,503.25 and 8,510.92

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Solution

The fourth proportional to 31,005.50, 46,503.25 and 8,510.92 is: 12,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.50 : 46,503.25 = 8,510.92 : x
  2. Step 2: Convert to fraction form
    31,005.50/46,503.25 = 8,510.92/x
  3. Step 3: Cross multiply
    31,005.50x = 46,503.25 × 8,510.92
  4. Step 4: Simplify right side
    31,005.50x = 395,785,440.49
  5. Step 5: Solve for x
    x = 395,785,440.49/31,005.50
  6. Step 6: Final answer
    x = 12,765.01

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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.