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Finding the Fourth Proportional to 54,999, 75,898.62 and 29,848.50

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Solution

The fourth proportional to 54,999, 75,898.62 and 29,848.50 is: 41,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,999 : 75,898.62 = 29,848.50 : x
  2. Step 2: Convert to fraction form
    54,999/75,898.62 = 29,848.50/x
  3. Step 3: Cross multiply
    54,999x = 75,898.62 × 29,848.50
  4. Step 4: Simplify right side
    54,999x = 2,265,459,959.07
  5. Step 5: Solve for x
    x = 2,265,459,959.07/54,999
  6. Step 6: Final answer
    x = 41,190.93

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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.