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Finding the Fourth Proportional to 46,062.84, 69,094 and 12,782.56

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Solution

The fourth proportional to 46,062.84, 69,094 and 12,782.56 is: 19,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,062.84 : 69,094 = 12,782.56 : x
  2. Step 2: Convert to fraction form
    46,062.84/69,094 = 12,782.56/x
  3. Step 3: Cross multiply
    46,062.84x = 69,094 × 12,782.56
  4. Step 4: Simplify right side
    46,062.84x = 883,198,200.64
  5. Step 5: Solve for x
    x = 883,198,200.64/46,062.84
  6. Step 6: Final answer
    x = 19,173.77

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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.