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Finding the Fourth Proportional to 38,465.30, 57,705.43 and 14,771.11

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Solution

The fourth proportional to 38,465.30, 57,705.43 and 14,771.11 is: 22,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.30 : 57,705.43 = 14,771.11 : x
  2. Step 2: Convert to fraction form
    38,465.30/57,705.43 = 14,771.11/x
  3. Step 3: Cross multiply
    38,465.30x = 57,705.43 × 14,771.11
  4. Step 4: Simplify right side
    38,465.30x = 852,373,045.72
  5. Step 5: Solve for x
    x = 852,373,045.72/38,465.30
  6. Step 6: Final answer
    x = 22,159.53

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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.