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Finding the Fourth Proportional to 78,326.20, 108,146.34 and 48,152

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Solution

The fourth proportional to 78,326.20, 108,146.34 and 48,152 is: 66,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,326.20 : 108,146.34 = 48,152 : x
  2. Step 2: Convert to fraction form
    78,326.20/108,146.34 = 48,152/x
  3. Step 3: Cross multiply
    78,326.20x = 108,146.34 × 48,152
  4. Step 4: Simplify right side
    78,326.20x = 5,207,462,563.68
  5. Step 5: Solve for x
    x = 5,207,462,563.68/78,326.20
  6. Step 6: Final answer
    x = 66,484.30

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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.