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Finding the Fourth Proportional to 38,473.40, 57,695.70 and 13,503.80

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Solution

The fourth proportional to 38,473.40, 57,695.70 and 13,503.80 is: 20,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.40 : 57,695.70 = 13,503.80 : x
  2. Step 2: Convert to fraction form
    38,473.40/57,695.70 = 13,503.80/x
  3. Step 3: Cross multiply
    38,473.40x = 57,695.70 × 13,503.80
  4. Step 4: Simplify right side
    38,473.40x = 779,111,193.66
  5. Step 5: Solve for x
    x = 779,111,193.66/38,473.40
  6. Step 6: Final answer
    x = 20,250.65

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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.