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Finding the Fourth Proportional to 78,364.83, 117,563.50 and 35,649.92

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Solution

The fourth proportional to 78,364.83, 117,563.50 and 35,649.92 is: 53,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364.83 : 117,563.50 = 35,649.92 : x
  2. Step 2: Convert to fraction form
    78,364.83/117,563.50 = 35,649.92/x
  3. Step 3: Cross multiply
    78,364.83x = 117,563.50 × 35,649.92
  4. Step 4: Simplify right side
    78,364.83x = 4,191,129,708.39
  5. Step 5: Solve for x
    x = 4,191,129,708.39/78,364.83
  6. Step 6: Final answer
    x = 53,482.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.