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Finding the Fourth Proportional to 76,546, 114,833.58 and 34,993

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Solution

The fourth proportional to 76,546, 114,833.58 and 34,993 is: 52,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546 : 114,833.58 = 34,993 : x
  2. Step 2: Convert to fraction form
    76,546/114,833.58 = 34,993/x
  3. Step 3: Cross multiply
    76,546x = 114,833.58 × 34,993
  4. Step 4: Simplify right side
    76,546x = 4,018,371,464.94
  5. Step 5: Solve for x
    x = 4,018,371,464.94/76,546
  6. Step 6: Final answer
    x = 52,496.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.