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Finding the Fourth Proportional to 101,214.36, 151,823.34 and 31,094.28

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Solution

The fourth proportional to 101,214.36, 151,823.34 and 31,094.28 is: 46,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214.36 : 151,823.34 = 31,094.28 : x
  2. Step 2: Convert to fraction form
    101,214.36/151,823.34 = 31,094.28/x
  3. Step 3: Cross multiply
    101,214.36x = 151,823.34 × 31,094.28
  4. Step 4: Simplify right side
    101,214.36x = 4,720,837,444.50
  5. Step 5: Solve for x
    x = 4,720,837,444.50/101,214.36
  6. Step 6: Final answer
    x = 46,641.97

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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.