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Finding the Fourth Proportional to 46,082.84, 69,125.52 and 12,803

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Solution

The fourth proportional to 46,082.84, 69,125.52 and 12,803 is: 19,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082.84 : 69,125.52 = 12,803 : x
  2. Step 2: Convert to fraction form
    46,082.84/69,125.52 = 12,803/x
  3. Step 3: Cross multiply
    46,082.84x = 69,125.52 × 12,803
  4. Step 4: Simplify right side
    46,082.84x = 885,014,032.56
  5. Step 5: Solve for x
    x = 885,014,032.56/46,082.84
  6. Step 6: Final answer
    x = 19,204.85

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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.