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Finding the Fourth Proportional to 45,942.88, 63,368.04 and 42,178

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Solution

The fourth proportional to 45,942.88, 63,368.04 and 42,178 is: 58,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,942.88 : 63,368.04 = 42,178 : x
  2. Step 2: Convert to fraction form
    45,942.88/63,368.04 = 42,178/x
  3. Step 3: Cross multiply
    45,942.88x = 63,368.04 × 42,178
  4. Step 4: Simplify right side
    45,942.88x = 2,672,737,191.12
  5. Step 5: Solve for x
    x = 2,672,737,191.12/45,942.88
  6. Step 6: Final answer
    x = 58,175.22

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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.