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Finding the Fourth Proportional to 53,709.30, 74,110.60 and 31,043.90

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Solution

The fourth proportional to 53,709.30, 74,110.60 and 31,043.90 is: 42,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.30 : 74,110.60 = 31,043.90 : x
  2. Step 2: Convert to fraction form
    53,709.30/74,110.60 = 31,043.90/x
  3. Step 3: Cross multiply
    53,709.30x = 74,110.60 × 31,043.90
  4. Step 4: Simplify right side
    53,709.30x = 2,300,681,583.71
  5. Step 5: Solve for x
    x = 2,300,681,583.71/53,709.30
  6. Step 6: Final answer
    x = 42,835.81

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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.