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Finding the Fourth Proportional to 73,129.30, 109,607.55 and 31,009.30

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Solution

The fourth proportional to 73,129.30, 109,607.55 and 31,009.30 is: 46,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.30 : 109,607.55 = 31,009.30 : x
  2. Step 2: Convert to fraction form
    73,129.30/109,607.55 = 31,009.30/x
  3. Step 3: Cross multiply
    73,129.30x = 109,607.55 × 31,009.30
  4. Step 4: Simplify right side
    73,129.30x = 3,398,853,400.22
  5. Step 5: Solve for x
    x = 3,398,853,400.22/73,129.30
  6. Step 6: Final answer
    x = 46,477.31

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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.