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Finding the Fourth Proportional to 35,847.16, 53,735.70 and 16,130.68

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Solution

The fourth proportional to 35,847.16, 53,735.70 and 16,130.68 is: 24,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847.16 : 53,735.70 = 16,130.68 : x
  2. Step 2: Convert to fraction form
    35,847.16/53,735.70 = 16,130.68/x
  3. Step 3: Cross multiply
    35,847.16x = 53,735.70 × 16,130.68
  4. Step 4: Simplify right side
    35,847.16x = 866,793,381.28
  5. Step 5: Solve for x
    x = 866,793,381.28/35,847.16
  6. Step 6: Final answer
    x = 24,180.25

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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.