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Finding the Fourth Proportional to 35,438.40, 53,160.30 and 9,143.10

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Solution

The fourth proportional to 35,438.40, 53,160.30 and 9,143.10 is: 13,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438.40 : 53,160.30 = 9,143.10 : x
  2. Step 2: Convert to fraction form
    35,438.40/53,160.30 = 9,143.10/x
  3. Step 3: Cross multiply
    35,438.40x = 53,160.30 × 9,143.10
  4. Step 4: Simplify right side
    35,438.40x = 486,049,938.93
  5. Step 5: Solve for x
    x = 486,049,938.93/35,438.40
  6. Step 6: Final answer
    x = 13,715.35

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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.