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Finding the Fourth Proportional to 53,771.36, 74,237.72 and 34,657.88

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Solution

The fourth proportional to 53,771.36, 74,237.72 and 34,657.88 is: 47,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,771.36 : 74,237.72 = 34,657.88 : x
  2. Step 2: Convert to fraction form
    53,771.36/74,237.72 = 34,657.88/x
  3. Step 3: Cross multiply
    53,771.36x = 74,237.72 × 34,657.88
  4. Step 4: Simplify right side
    53,771.36x = 2,572,921,991.23
  5. Step 5: Solve for x
    x = 2,572,921,991.23/53,771.36
  6. Step 6: Final answer
    x = 47,849.30

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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.