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Finding the Fourth Proportional to 46,343.80, 64,007 and 31,210.17

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Solution

The fourth proportional to 46,343.80, 64,007 and 31,210.17 is: 43,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,343.80 : 64,007 = 31,210.17 : x
  2. Step 2: Convert to fraction form
    46,343.80/64,007 = 31,210.17/x
  3. Step 3: Cross multiply
    46,343.80x = 64,007 × 31,210.17
  4. Step 4: Simplify right side
    46,343.80x = 1,997,669,351.19
  5. Step 5: Solve for x
    x = 1,997,669,351.19/46,343.80
  6. Step 6: Final answer
    x = 43,105.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.