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Finding the Fourth Proportional to 31,303.09, 46,953.94 and 7,610.76

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Solution

The fourth proportional to 31,303.09, 46,953.94 and 7,610.76 is: 11,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.09 : 46,953.94 = 7,610.76 : x
  2. Step 2: Convert to fraction form
    31,303.09/46,953.94 = 7,610.76/x
  3. Step 3: Cross multiply
    31,303.09x = 46,953.94 × 7,610.76
  4. Step 4: Simplify right side
    31,303.09x = 357,355,168.39
  5. Step 5: Solve for x
    x = 357,355,168.39/31,303.09
  6. Step 6: Final answer
    x = 11,415.97

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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.