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Finding the Fourth Proportional to 53,245.34, 73,478.64 and 30,588.74

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Solution

The fourth proportional to 53,245.34, 73,478.64 and 30,588.74 is: 42,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,245.34 : 73,478.64 = 30,588.74 : x
  2. Step 2: Convert to fraction form
    53,245.34/73,478.64 = 30,588.74/x
  3. Step 3: Cross multiply
    53,245.34x = 73,478.64 × 30,588.74
  4. Step 4: Simplify right side
    53,245.34x = 2,247,619,014.51
  5. Step 5: Solve for x
    x = 2,247,619,014.51/53,245.34
  6. Step 6: Final answer
    x = 42,212.50

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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.