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Finding the Fourth Proportional to 31,477.70, 47,216.55 and 10,701.20

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Solution

The fourth proportional to 31,477.70, 47,216.55 and 10,701.20 is: 16,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.70 : 47,216.55 = 10,701.20 : x
  2. Step 2: Convert to fraction form
    31,477.70/47,216.55 = 10,701.20/x
  3. Step 3: Cross multiply
    31,477.70x = 47,216.55 × 10,701.20
  4. Step 4: Simplify right side
    31,477.70x = 505,273,508.78
  5. Step 5: Solve for x
    x = 505,273,508.78/31,477.70
  6. Step 6: Final answer
    x = 16,051.80

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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.