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Finding the Fourth Proportional to 35,188.16, 48,567.96 and 23,252

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Solution

The fourth proportional to 35,188.16, 48,567.96 and 23,252 is: 32,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,188.16 : 48,567.96 = 23,252 : x
  2. Step 2: Convert to fraction form
    35,188.16/48,567.96 = 23,252/x
  3. Step 3: Cross multiply
    35,188.16x = 48,567.96 × 23,252
  4. Step 4: Simplify right side
    35,188.16x = 1,129,302,205.92
  5. Step 5: Solve for x
    x = 1,129,302,205.92/35,188.16
  6. Step 6: Final answer
    x = 32,093.24

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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.