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Finding the Fourth Proportional to 39,409.10, 59,122.54 and 13,114.88

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Solution

The fourth proportional to 39,409.10, 59,122.54 and 13,114.88 is: 19,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409.10 : 59,122.54 = 13,114.88 : x
  2. Step 2: Convert to fraction form
    39,409.10/59,122.54 = 13,114.88/x
  3. Step 3: Cross multiply
    39,409.10x = 59,122.54 × 13,114.88
  4. Step 4: Simplify right side
    39,409.10x = 775,385,017.40
  5. Step 5: Solve for x
    x = 775,385,017.40/39,409.10
  6. Step 6: Final answer
    x = 19,675.28

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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.