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Finding the Fourth Proportional to 38,465.36, 57,705.84 and 16,278.80

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Solution

The fourth proportional to 38,465.36, 57,705.84 and 16,278.80 is: 24,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.36 : 57,705.84 = 16,278.80 : x
  2. Step 2: Convert to fraction form
    38,465.36/57,705.84 = 16,278.80/x
  3. Step 3: Cross multiply
    38,465.36x = 57,705.84 × 16,278.80
  4. Step 4: Simplify right side
    38,465.36x = 939,381,828.19
  5. Step 5: Solve for x
    x = 939,381,828.19/38,465.36
  6. Step 6: Final answer
    x = 24,421.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.