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Finding the Fourth Proportional to 60,457, 83,430.66 and 33,961

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Solution

The fourth proportional to 60,457, 83,430.66 and 33,961 is: 46,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,457 : 83,430.66 = 33,961 : x
  2. Step 2: Convert to fraction form
    60,457/83,430.66 = 33,961/x
  3. Step 3: Cross multiply
    60,457x = 83,430.66 × 33,961
  4. Step 4: Simplify right side
    60,457x = 2,833,388,644.26
  5. Step 5: Solve for x
    x = 2,833,388,644.26/60,457
  6. Step 6: Final answer
    x = 46,866.18

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Why These Related Problems?

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