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Finding the Fourth Proportional to 78,104.70, 107,784.63 and 46,289.34

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Solution

The fourth proportional to 78,104.70, 107,784.63 and 46,289.34 is: 63,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104.70 : 107,784.63 = 46,289.34 : x
  2. Step 2: Convert to fraction form
    78,104.70/107,784.63 = 46,289.34/x
  3. Step 3: Cross multiply
    78,104.70x = 107,784.63 × 46,289.34
  4. Step 4: Simplify right side
    78,104.70x = 4,989,279,384.84
  5. Step 5: Solve for x
    x = 4,989,279,384.84/78,104.70
  6. Step 6: Final answer
    x = 63,879.37

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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.