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Finding the Fourth Proportional to 53,607.24, 73,978.35 and 29,734.32

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Solution

The fourth proportional to 53,607.24, 73,978.35 and 29,734.32 is: 41,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,607.24 : 73,978.35 = 29,734.32 : x
  2. Step 2: Convert to fraction form
    53,607.24/73,978.35 = 29,734.32/x
  3. Step 3: Cross multiply
    53,607.24x = 73,978.35 × 29,734.32
  4. Step 4: Simplify right side
    53,607.24x = 2,199,695,599.14
  5. Step 5: Solve for x
    x = 2,199,695,599.14/53,607.24
  6. Step 6: Final answer
    x = 41,033.55

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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.