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Finding the Fourth Proportional to 38,312.40, 57,434.40 and 14,933.40

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Solution

The fourth proportional to 38,312.40, 57,434.40 and 14,933.40 is: 22,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312.40 : 57,434.40 = 14,933.40 : x
  2. Step 2: Convert to fraction form
    38,312.40/57,434.40 = 14,933.40/x
  3. Step 3: Cross multiply
    38,312.40x = 57,434.40 × 14,933.40
  4. Step 4: Simplify right side
    38,312.40x = 857,690,868.96
  5. Step 5: Solve for x
    x = 857,690,868.96/38,312.40
  6. Step 6: Final answer
    x = 22,386.77

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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.