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Finding the Fourth Proportional to 84,970.94, 117,262.90 and 46,733.44

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Solution

The fourth proportional to 84,970.94, 117,262.90 and 46,733.44 is: 64,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,970.94 : 117,262.90 = 46,733.44 : x
  2. Step 2: Convert to fraction form
    84,970.94/117,262.90 = 46,733.44/x
  3. Step 3: Cross multiply
    84,970.94x = 117,262.90 × 46,733.44
  4. Step 4: Simplify right side
    84,970.94x = 5,480,098,701.38
  5. Step 5: Solve for x
    x = 5,480,098,701.38/84,970.94
  6. Step 6: Final answer
    x = 64,493.80

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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.