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Finding the Fourth Proportional to 84,405.99, 116,475.54 and 46,157.91

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Solution

The fourth proportional to 84,405.99, 116,475.54 and 46,157.91 is: 63,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,405.99 : 116,475.54 = 46,157.91 : x
  2. Step 2: Convert to fraction form
    84,405.99/116,475.54 = 46,157.91/x
  3. Step 3: Cross multiply
    84,405.99x = 116,475.54 × 46,157.91
  4. Step 4: Simplify right side
    84,405.99x = 5,376,267,492.52
  5. Step 5: Solve for x
    x = 5,376,267,492.52/84,405.99
  6. Step 6: Final answer
    x = 63,695.33

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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.