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Finding the Fourth Proportional to 53,465.64, 73,801.01 and 30,813.67

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Solution

The fourth proportional to 53,465.64, 73,801.01 and 30,813.67 is: 42,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,465.64 : 73,801.01 = 30,813.67 : x
  2. Step 2: Convert to fraction form
    53,465.64/73,801.01 = 30,813.67/x
  3. Step 3: Cross multiply
    53,465.64x = 73,801.01 × 30,813.67
  4. Step 4: Simplify right side
    53,465.64x = 2,274,080,137.09
  5. Step 5: Solve for x
    x = 2,274,080,137.09/53,465.64
  6. Step 6: Final answer
    x = 42,533.49

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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.