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Finding the Fourth Proportional to 35,438.68, 53,157.48 and 9,143.20

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Solution

The fourth proportional to 35,438.68, 53,157.48 and 9,143.20 is: 13,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438.68 : 53,157.48 = 9,143.20 : x
  2. Step 2: Convert to fraction form
    35,438.68/53,157.48 = 9,143.20/x
  3. Step 3: Cross multiply
    35,438.68x = 53,157.48 × 9,143.20
  4. Step 4: Simplify right side
    35,438.68x = 486,029,471.14
  5. Step 5: Solve for x
    x = 486,029,471.14/35,438.68
  6. Step 6: Final answer
    x = 13,714.66

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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.