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Finding the Fourth Proportional to 53,028, 73,180.35 and 29,156.40

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Solution

The fourth proportional to 53,028, 73,180.35 and 29,156.40 is: 40,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,028 : 73,180.35 = 29,156.40 : x
  2. Step 2: Convert to fraction form
    53,028/73,180.35 = 29,156.40/x
  3. Step 3: Cross multiply
    53,028x = 73,180.35 × 29,156.40
  4. Step 4: Simplify right side
    53,028x = 2,133,675,556.74
  5. Step 5: Solve for x
    x = 2,133,675,556.74/53,028
  6. Step 6: Final answer
    x = 40,236.77

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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.