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Finding the Fourth Proportional to 42,031, 58,002.78 and 23,168.53

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Solution

The fourth proportional to 42,031, 58,002.78 and 23,168.53 is: 31,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,031 : 58,002.78 = 23,168.53 : x
  2. Step 2: Convert to fraction form
    42,031/58,002.78 = 23,168.53/x
  3. Step 3: Cross multiply
    42,031x = 58,002.78 × 23,168.53
  4. Step 4: Simplify right side
    42,031x = 1,343,839,148.51
  5. Step 5: Solve for x
    x = 1,343,839,148.51/42,031
  6. Step 6: Final answer
    x = 31,972.57

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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.