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Finding the Fourth Proportional to 38,025, 57,045 and 13,058.96

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Solution

The fourth proportional to 38,025, 57,045 and 13,058.96 is: 19,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025 : 57,045 = 13,058.96 : x
  2. Step 2: Convert to fraction form
    38,025/57,045 = 13,058.96/x
  3. Step 3: Cross multiply
    38,025x = 57,045 × 13,058.96
  4. Step 4: Simplify right side
    38,025x = 744,948,373.20
  5. Step 5: Solve for x
    x = 744,948,373.20/38,025
  6. Step 6: Final answer
    x = 19,591.02

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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.