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Finding the Fourth Proportional to 49,357.60, 74,047.20 and 24,409.60

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Solution

The fourth proportional to 49,357.60, 74,047.20 and 24,409.60 is: 36,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,357.60 : 74,047.20 = 24,409.60 : x
  2. Step 2: Convert to fraction form
    49,357.60/74,047.20 = 24,409.60/x
  3. Step 3: Cross multiply
    49,357.60x = 74,047.20 × 24,409.60
  4. Step 4: Simplify right side
    49,357.60x = 1,807,462,533.12
  5. Step 5: Solve for x
    x = 1,807,462,533.12/49,357.60
  6. Step 6: Final answer
    x = 36,619.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.