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Finding the Fourth Proportional to 83,946.30, 115,846.32 and 46,220.52

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Solution

The fourth proportional to 83,946.30, 115,846.32 and 46,220.52 is: 63,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,946.30 : 115,846.32 = 46,220.52 : x
  2. Step 2: Convert to fraction form
    83,946.30/115,846.32 = 46,220.52/x
  3. Step 3: Cross multiply
    83,946.30x = 115,846.32 × 46,220.52
  4. Step 4: Simplify right side
    83,946.30x = 5,354,477,150.49
  5. Step 5: Solve for x
    x = 5,354,477,150.49/83,946.30
  6. Step 6: Final answer
    x = 63,784.55

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