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Finding the Fourth Proportional to 38,964, 58,419.84 and 19,255.20

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Solution

The fourth proportional to 38,964, 58,419.84 and 19,255.20 is: 28,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 58,419.84 = 19,255.20 : x
  2. Step 2: Convert to fraction form
    38,964/58,419.84 = 19,255.20/x
  3. Step 3: Cross multiply
    38,964x = 58,419.84 × 19,255.20
  4. Step 4: Simplify right side
    38,964x = 1,124,885,703.17
  5. Step 5: Solve for x
    x = 1,124,885,703.17/38,964
  6. Step 6: Final answer
    x = 28,869.87

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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.