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Finding the Fourth Proportional to 84,218.56, 116,220.90 and 46,492

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Solution

The fourth proportional to 84,218.56, 116,220.90 and 46,492 is: 64,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218.56 : 116,220.90 = 46,492 : x
  2. Step 2: Convert to fraction form
    84,218.56/116,220.90 = 46,492/x
  3. Step 3: Cross multiply
    84,218.56x = 116,220.90 × 46,492
  4. Step 4: Simplify right side
    84,218.56x = 5,403,342,082.80
  5. Step 5: Solve for x
    x = 5,403,342,082.80/84,218.56
  6. Step 6: Final answer
    x = 64,158.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.