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Finding the Fourth Proportional to 114,051.98, 171,087.54 and 42,024.50

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Solution

The fourth proportional to 114,051.98, 171,087.54 and 42,024.50 is: 63,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051.98 : 171,087.54 = 42,024.50 : x
  2. Step 2: Convert to fraction form
    114,051.98/171,087.54 = 42,024.50/x
  3. Step 3: Cross multiply
    114,051.98x = 171,087.54 × 42,024.50
  4. Step 4: Simplify right side
    114,051.98x = 7,189,868,324.73
  5. Step 5: Solve for x
    x = 7,189,868,324.73/114,051.98
  6. Step 6: Final answer
    x = 63,040.28

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