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Finding the Fourth Proportional to 31,808.63, 47,712.94 and 9,920.63

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Solution

The fourth proportional to 31,808.63, 47,712.94 and 9,920.63 is: 14,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.63 : 47,712.94 = 9,920.63 : x
  2. Step 2: Convert to fraction form
    31,808.63/47,712.94 = 9,920.63/x
  3. Step 3: Cross multiply
    31,808.63x = 47,712.94 × 9,920.63
  4. Step 4: Simplify right side
    31,808.63x = 473,342,423.95
  5. Step 5: Solve for x
    x = 473,342,423.95/31,808.63
  6. Step 6: Final answer
    x = 14,880.94

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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.