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Finding the Fourth Proportional to 55,735.24, 76,950.68 and 34,537

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Solution

The fourth proportional to 55,735.24, 76,950.68 and 34,537 is: 47,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,735.24 : 76,950.68 = 34,537 : x
  2. Step 2: Convert to fraction form
    55,735.24/76,950.68 = 34,537/x
  3. Step 3: Cross multiply
    55,735.24x = 76,950.68 × 34,537
  4. Step 4: Simplify right side
    55,735.24x = 2,657,645,635.16
  5. Step 5: Solve for x
    x = 2,657,645,635.16/55,735.24
  6. Step 6: Final answer
    x = 47,683.40

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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.