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Finding the Fourth Proportional to 84,932.61, 117,208.44 and 46,693.76

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Solution

The fourth proportional to 84,932.61, 117,208.44 and 46,693.76 is: 64,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,932.61 : 117,208.44 = 46,693.76 : x
  2. Step 2: Convert to fraction form
    84,932.61/117,208.44 = 46,693.76/x
  3. Step 3: Cross multiply
    84,932.61x = 117,208.44 × 46,693.76
  4. Step 4: Simplify right side
    84,932.61x = 5,472,902,181.29
  5. Step 5: Solve for x
    x = 5,472,902,181.29/84,932.61
  6. Step 6: Final answer
    x = 64,438.17

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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.