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Finding the Fourth Proportional to 84,002.73, 115,923.76 and 46,276.98

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Solution

The fourth proportional to 84,002.73, 115,923.76 and 46,276.98 is: 63,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002.73 : 115,923.76 = 46,276.98 : x
  2. Step 2: Convert to fraction form
    84,002.73/115,923.76 = 46,276.98/x
  3. Step 3: Cross multiply
    84,002.73x = 115,923.76 × 46,276.98
  4. Step 4: Simplify right side
    84,002.73x = 5,364,601,580.89
  5. Step 5: Solve for x
    x = 5,364,601,580.89/84,002.73
  6. Step 6: Final answer
    x = 63,862.23

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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.