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Finding the Fourth Proportional to 73,678.58, 110,494.63 and 31,547.54

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Solution

The fourth proportional to 73,678.58, 110,494.63 and 31,547.54 is: 47,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,678.58 : 110,494.63 = 31,547.54 : x
  2. Step 2: Convert to fraction form
    73,678.58/110,494.63 = 31,547.54/x
  3. Step 3: Cross multiply
    73,678.58x = 110,494.63 × 31,547.54
  4. Step 4: Simplify right side
    73,678.58x = 3,485,833,759.71
  5. Step 5: Solve for x
    x = 3,485,833,759.71/73,678.58
  6. Step 6: Final answer
    x = 47,311.36

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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.