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Finding the Fourth Proportional to 32,607.32, 45,008.82 and 19,178

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Solution

The fourth proportional to 32,607.32, 45,008.82 and 19,178 is: 26,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607.32 : 45,008.82 = 19,178 : x
  2. Step 2: Convert to fraction form
    32,607.32/45,008.82 = 19,178/x
  3. Step 3: Cross multiply
    32,607.32x = 45,008.82 × 19,178
  4. Step 4: Simplify right side
    32,607.32x = 863,179,149.96
  5. Step 5: Solve for x
    x = 863,179,149.96/32,607.32
  6. Step 6: Final answer
    x = 26,471.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.