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Finding the Fourth Proportional to 46,571, 69,859.08 and 13,288.50

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Solution

The fourth proportional to 46,571, 69,859.08 and 13,288.50 is: 19,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,571 : 69,859.08 = 13,288.50 : x
  2. Step 2: Convert to fraction form
    46,571/69,859.08 = 13,288.50/x
  3. Step 3: Cross multiply
    46,571x = 69,859.08 × 13,288.50
  4. Step 4: Simplify right side
    46,571x = 928,322,384.58
  5. Step 5: Solve for x
    x = 928,322,384.58/46,571
  6. Step 6: Final answer
    x = 19,933.49

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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.