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Finding the Fourth Proportional to 73,697.94, 110,454.40 and 31,528.46

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Solution

The fourth proportional to 73,697.94, 110,454.40 and 31,528.46 is: 47,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,697.94 : 110,454.40 = 31,528.46 : x
  2. Step 2: Convert to fraction form
    73,697.94/110,454.40 = 31,528.46/x
  3. Step 3: Cross multiply
    73,697.94x = 110,454.40 × 31,528.46
  4. Step 4: Simplify right side
    73,697.94x = 3,482,457,447.77
  5. Step 5: Solve for x
    x = 3,482,457,447.77/73,697.94
  6. Step 6: Final answer
    x = 47,253.12

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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.