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Finding the Fourth Proportional to 75,102.34, 103,601.28 and 46,438.06

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Solution

The fourth proportional to 75,102.34, 103,601.28 and 46,438.06 is: 64,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.34 : 103,601.28 = 46,438.06 : x
  2. Step 2: Convert to fraction form
    75,102.34/103,601.28 = 46,438.06/x
  3. Step 3: Cross multiply
    75,102.34x = 103,601.28 × 46,438.06
  4. Step 4: Simplify right side
    75,102.34x = 4,811,042,456.72
  5. Step 5: Solve for x
    x = 4,811,042,456.72/75,102.34
  6. Step 6: Final answer
    x = 64,059.82

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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.