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Finding the Fourth Proportional to 84,287.94, 116,307.45 and 46,559.94

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Solution

The fourth proportional to 84,287.94, 116,307.45 and 46,559.94 is: 64,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287.94 : 116,307.45 = 46,559.94 : x
  2. Step 2: Convert to fraction form
    84,287.94/116,307.45 = 46,559.94/x
  3. Step 3: Cross multiply
    84,287.94x = 116,307.45 × 46,559.94
  4. Step 4: Simplify right side
    84,287.94x = 5,415,267,893.55
  5. Step 5: Solve for x
    x = 5,415,267,893.55/84,287.94
  6. Step 6: Final answer
    x = 64,247.24

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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.