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Finding the Fourth Proportional to 53,874, 74,346.12 and 31,522.32

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Solution

The fourth proportional to 53,874, 74,346.12 and 31,522.32 is: 43,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874 : 74,346.12 = 31,522.32 : x
  2. Step 2: Convert to fraction form
    53,874/74,346.12 = 31,522.32/x
  3. Step 3: Cross multiply
    53,874x = 74,346.12 × 31,522.32
  4. Step 4: Simplify right side
    53,874x = 2,343,562,185.40
  5. Step 5: Solve for x
    x = 2,343,562,185.40/53,874
  6. Step 6: Final answer
    x = 43,500.80

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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.