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Finding the Fourth Proportional to 32,322.40, 48,463.74 and 12,577.96

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Solution

The fourth proportional to 32,322.40, 48,463.74 and 12,577.96 is: 18,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.40 : 48,463.74 = 12,577.96 : x
  2. Step 2: Convert to fraction form
    32,322.40/48,463.74 = 12,577.96/x
  3. Step 3: Cross multiply
    32,322.40x = 48,463.74 × 12,577.96
  4. Step 4: Simplify right side
    32,322.40x = 609,574,983.17
  5. Step 5: Solve for x
    x = 609,574,983.17/32,322.40
  6. Step 6: Final answer
    x = 18,859.21

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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.