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Finding the Fourth Proportional to 53,580.30, 73,942.56 and 29,709.20

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Solution

The fourth proportional to 53,580.30, 73,942.56 and 29,709.20 is: 40,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,580.30 : 73,942.56 = 29,709.20 : x
  2. Step 2: Convert to fraction form
    53,580.30/73,942.56 = 29,709.20/x
  3. Step 3: Cross multiply
    53,580.30x = 73,942.56 × 29,709.20
  4. Step 4: Simplify right side
    53,580.30x = 2,196,774,303.55
  5. Step 5: Solve for x
    x = 2,196,774,303.55/53,580.30
  6. Step 6: Final answer
    x = 40,999.66

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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.