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Finding the Fourth Proportional to 42,264.69, 58,322.69 and 23,144.69

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Solution

The fourth proportional to 42,264.69, 58,322.69 and 23,144.69 is: 31,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,264.69 : 58,322.69 = 23,144.69 : x
  2. Step 2: Convert to fraction form
    42,264.69/58,322.69 = 23,144.69/x
  3. Step 3: Cross multiply
    42,264.69x = 58,322.69 × 23,144.69
  4. Step 4: Simplify right side
    42,264.69x = 1,349,860,172.68
  5. Step 5: Solve for x
    x = 1,349,860,172.68/42,264.69
  6. Step 6: Final answer
    x = 31,938.25

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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.