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Finding the Fourth Proportional to 32,159.85, 48,232.44 and 14,381.16

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Solution

The fourth proportional to 32,159.85, 48,232.44 and 14,381.16 is: 21,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.85 : 48,232.44 = 14,381.16 : x
  2. Step 2: Convert to fraction form
    32,159.85/48,232.44 = 14,381.16/x
  3. Step 3: Cross multiply
    32,159.85x = 48,232.44 × 14,381.16
  4. Step 4: Simplify right side
    32,159.85x = 693,638,436.83
  5. Step 5: Solve for x
    x = 693,638,436.83/32,159.85
  6. Step 6: Final answer
    x = 21,568.46

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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.