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Finding the Fourth Proportional to 72,322.76, 99,805.56 and 40,493

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Solution

The fourth proportional to 72,322.76, 99,805.56 and 40,493 is: 55,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,322.76 : 99,805.56 = 40,493 : x
  2. Step 2: Convert to fraction form
    72,322.76/99,805.56 = 40,493/x
  3. Step 3: Cross multiply
    72,322.76x = 99,805.56 × 40,493
  4. Step 4: Simplify right side
    72,322.76x = 4,041,426,541.08
  5. Step 5: Solve for x
    x = 4,041,426,541.08/72,322.76
  6. Step 6: Final answer
    x = 55,880.42

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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.