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Finding the Fourth Proportional to 43,322.50, 64,973.76 and 13,734.82

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Solution

The fourth proportional to 43,322.50, 64,973.76 and 13,734.82 is: 20,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,322.50 : 64,973.76 = 13,734.82 : x
  2. Step 2: Convert to fraction form
    43,322.50/64,973.76 = 13,734.82/x
  3. Step 3: Cross multiply
    43,322.50x = 64,973.76 × 13,734.82
  4. Step 4: Simplify right side
    43,322.50x = 892,402,898.32
  5. Step 5: Solve for x
    x = 892,402,898.32/43,322.50
  6. Step 6: Final answer
    x = 20,599.06

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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.