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Finding the Fourth Proportional to 53,420.34, 73,718.76 and 29,546.50

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Solution

The fourth proportional to 53,420.34, 73,718.76 and 29,546.50 is: 40,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420.34 : 73,718.76 = 29,546.50 : x
  2. Step 2: Convert to fraction form
    53,420.34/73,718.76 = 29,546.50/x
  3. Step 3: Cross multiply
    53,420.34x = 73,718.76 × 29,546.50
  4. Step 4: Simplify right side
    53,420.34x = 2,178,131,342.34
  5. Step 5: Solve for x
    x = 2,178,131,342.34/53,420.34
  6. Step 6: Final answer
    x = 40,773.45

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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.