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Finding the Fourth Proportional to 41,416.56, 62,075.52 and 23,850

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Solution

The fourth proportional to 41,416.56, 62,075.52 and 23,850 is: 35,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416.56 : 62,075.52 = 23,850 : x
  2. Step 2: Convert to fraction form
    41,416.56/62,075.52 = 23,850/x
  3. Step 3: Cross multiply
    41,416.56x = 62,075.52 × 23,850
  4. Step 4: Simplify right side
    41,416.56x = 1,480,501,152
  5. Step 5: Solve for x
    x = 1,480,501,152/41,416.56
  6. Step 6: Final answer
    x = 35,746.60

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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.