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Finding the Fourth Proportional to 53,470.50, 73,808.76 and 31,114.50

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Solution

The fourth proportional to 53,470.50, 73,808.76 and 31,114.50 is: 42,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470.50 : 73,808.76 = 31,114.50 : x
  2. Step 2: Convert to fraction form
    53,470.50/73,808.76 = 31,114.50/x
  3. Step 3: Cross multiply
    53,470.50x = 73,808.76 × 31,114.50
  4. Step 4: Simplify right side
    53,470.50x = 2,296,522,663.02
  5. Step 5: Solve for x
    x = 2,296,522,663.02/53,470.50
  6. Step 6: Final answer
    x = 42,949.34

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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.