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Finding the Fourth Proportional to 42,014, 57,980.54 and 23,152.34

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Solution

The fourth proportional to 42,014, 57,980.54 and 23,152.34 is: 31,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014 : 57,980.54 = 23,152.34 : x
  2. Step 2: Convert to fraction form
    42,014/57,980.54 = 23,152.34/x
  3. Step 3: Cross multiply
    42,014x = 57,980.54 × 23,152.34
  4. Step 4: Simplify right side
    42,014x = 1,342,385,175.46
  5. Step 5: Solve for x
    x = 1,342,385,175.46/42,014
  6. Step 6: Final answer
    x = 31,950.90

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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.