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Finding the Fourth Proportional to 53,607, 73,977.72 and 31,255.32

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Solution

The fourth proportional to 53,607, 73,977.72 and 31,255.32 is: 43,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,607 : 73,977.72 = 31,255.32 : x
  2. Step 2: Convert to fraction form
    53,607/73,977.72 = 31,255.32/x
  3. Step 3: Cross multiply
    53,607x = 73,977.72 × 31,255.32
  4. Step 4: Simplify right side
    53,607x = 2,312,197,311.47
  5. Step 5: Solve for x
    x = 2,312,197,311.47/53,607
  6. Step 6: Final answer
    x = 43,132.38

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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.