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Finding the Fourth Proportional to 78,442.10, 108,210.23 and 51,234.12

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Solution

The fourth proportional to 78,442.10, 108,210.23 and 51,234.12 is: 70,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.10 : 108,210.23 = 51,234.12 : x
  2. Step 2: Convert to fraction form
    78,442.10/108,210.23 = 51,234.12/x
  3. Step 3: Cross multiply
    78,442.10x = 108,210.23 × 51,234.12
  4. Step 4: Simplify right side
    78,442.10x = 5,544,055,652.88
  5. Step 5: Solve for x
    x = 5,544,055,652.88/78,442.10
  6. Step 6: Final answer
    x = 70,677.05

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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.