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Finding the Fourth Proportional to 46,510.56, 69,765.84 and 13,678.56

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Solution

The fourth proportional to 46,510.56, 69,765.84 and 13,678.56 is: 20,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510.56 : 69,765.84 = 13,678.56 : x
  2. Step 2: Convert to fraction form
    46,510.56/69,765.84 = 13,678.56/x
  3. Step 3: Cross multiply
    46,510.56x = 69,765.84 × 13,678.56
  4. Step 4: Simplify right side
    46,510.56x = 954,296,228.39
  5. Step 5: Solve for x
    x = 954,296,228.39/46,510.56
  6. Step 6: Final answer
    x = 20,517.84

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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.