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Finding the Fourth Proportional to 42,329.42, 63,741.52 and 31,313.84

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Solution

The fourth proportional to 42,329.42, 63,741.52 and 31,313.84 is: 47,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,329.42 : 63,741.52 = 31,313.84 : x
  2. Step 2: Convert to fraction form
    42,329.42/63,741.52 = 31,313.84/x
  3. Step 3: Cross multiply
    42,329.42x = 63,741.52 × 31,313.84
  4. Step 4: Simplify right side
    42,329.42x = 1,995,991,758.64
  5. Step 5: Solve for x
    x = 1,995,991,758.64/42,329.42
  6. Step 6: Final answer
    x = 47,153.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.