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Finding the Fourth Proportional to 84,648.94, 116,816.85 and 46,411.98

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Solution

The fourth proportional to 84,648.94, 116,816.85 and 46,411.98 is: 64,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,648.94 : 116,816.85 = 46,411.98 : x
  2. Step 2: Convert to fraction form
    84,648.94/116,816.85 = 46,411.98/x
  3. Step 3: Cross multiply
    84,648.94x = 116,816.85 × 46,411.98
  4. Step 4: Simplify right side
    84,648.94x = 5,421,701,305.86
  5. Step 5: Solve for x
    x = 5,421,701,305.86/84,648.94
  6. Step 6: Final answer
    x = 64,049.25

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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.