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Finding the Fourth Proportional to 42,030.56, 58,002 and 23,168

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Solution

The fourth proportional to 42,030.56, 58,002 and 23,168 is: 31,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,030.56 : 58,002 = 23,168 : x
  2. Step 2: Convert to fraction form
    42,030.56/58,002 = 23,168/x
  3. Step 3: Cross multiply
    42,030.56x = 58,002 × 23,168
  4. Step 4: Simplify right side
    42,030.56x = 1,343,790,336
  5. Step 5: Solve for x
    x = 1,343,790,336/42,030.56
  6. Step 6: Final answer
    x = 31,971.74

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Why These Related Problems?

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