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Finding the Fourth Proportional to 110,521.26, 165,804.93 and 36,643.50

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Solution

The fourth proportional to 110,521.26, 165,804.93 and 36,643.50 is: 54,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,521.26 : 165,804.93 = 36,643.50 : x
  2. Step 2: Convert to fraction form
    110,521.26/165,804.93 = 36,643.50/x
  3. Step 3: Cross multiply
    110,521.26x = 165,804.93 × 36,643.50
  4. Step 4: Simplify right side
    110,521.26x = 6,075,672,952.46
  5. Step 5: Solve for x
    x = 6,075,672,952.46/110,521.26
  6. Step 6: Final answer
    x = 54,972.89

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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.