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Finding the Fourth Proportional to 53,197.32, 73,416.06 and 30,540

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Solution

The fourth proportional to 53,197.32, 73,416.06 and 30,540 is: 42,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,197.32 : 73,416.06 = 30,540 : x
  2. Step 2: Convert to fraction form
    53,197.32/73,416.06 = 30,540/x
  3. Step 3: Cross multiply
    53,197.32x = 73,416.06 × 30,540
  4. Step 4: Simplify right side
    53,197.32x = 2,242,126,472.40
  5. Step 5: Solve for x
    x = 2,242,126,472.40/53,197.32
  6. Step 6: Final answer
    x = 42,147.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.