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Finding the Fourth Proportional to 31,011.92, 46,509.64 and 13,477.64

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Solution

The fourth proportional to 31,011.92, 46,509.64 and 13,477.64 is: 20,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.92 : 46,509.64 = 13,477.64 : x
  2. Step 2: Convert to fraction form
    31,011.92/46,509.64 = 13,477.64/x
  3. Step 3: Cross multiply
    31,011.92x = 46,509.64 × 13,477.64
  4. Step 4: Simplify right side
    31,011.92x = 626,840,184.45
  5. Step 5: Solve for x
    x = 626,840,184.45/31,011.92
  6. Step 6: Final answer
    x = 20,212.88

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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.