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Finding the Fourth Proportional to 51,994.48, 78,097.20 and 45,892.48

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Solution

The fourth proportional to 51,994.48, 78,097.20 and 45,892.48 is: 68,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994.48 : 78,097.20 = 45,892.48 : x
  2. Step 2: Convert to fraction form
    51,994.48/78,097.20 = 45,892.48/x
  3. Step 3: Cross multiply
    51,994.48x = 78,097.20 × 45,892.48
  4. Step 4: Simplify right side
    51,994.48x = 3,584,074,189.06
  5. Step 5: Solve for x
    x = 3,584,074,189.06/51,994.48
  6. Step 6: Final answer
    x = 68,931.82

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Why These Related Problems?

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