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Finding the Fourth Proportional to 52,094.40, 78,026.40 and 40,315.20

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Solution

The fourth proportional to 52,094.40, 78,026.40 and 40,315.20 is: 60,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,094.40 : 78,026.40 = 40,315.20 : x
  2. Step 2: Convert to fraction form
    52,094.40/78,026.40 = 40,315.20/x
  3. Step 3: Cross multiply
    52,094.40x = 78,026.40 × 40,315.20
  4. Step 4: Simplify right side
    52,094.40x = 3,145,649,921.28
  5. Step 5: Solve for x
    x = 3,145,649,921.28/52,094.40
  6. Step 6: Final answer
    x = 60,383.65

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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.