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Finding the Fourth Proportional to 53,478.72, 73,809.23 and 40,711.50

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Solution

The fourth proportional to 53,478.72, 73,809.23 and 40,711.50 is: 56,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.72 : 73,809.23 = 40,711.50 : x
  2. Step 2: Convert to fraction form
    53,478.72/73,809.23 = 40,711.50/x
  3. Step 3: Cross multiply
    53,478.72x = 73,809.23 × 40,711.50
  4. Step 4: Simplify right side
    53,478.72x = 3,004,884,263.59
  5. Step 5: Solve for x
    x = 3,004,884,263.59/53,478.72
  6. Step 6: Final answer
    x = 56,188.41

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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.