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Finding the Fourth Proportional to 52,538, 72,492.52 and 31,319.24

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Solution

The fourth proportional to 52,538, 72,492.52 and 31,319.24 is: 43,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538 : 72,492.52 = 31,319.24 : x
  2. Step 2: Convert to fraction form
    52,538/72,492.52 = 31,319.24/x
  3. Step 3: Cross multiply
    52,538x = 72,492.52 × 31,319.24
  4. Step 4: Simplify right side
    52,538x = 2,270,410,632.08
  5. Step 5: Solve for x
    x = 2,270,410,632.08/52,538
  6. Step 6: Final answer
    x = 43,214.64

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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.