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Finding the Fourth Proportional to 38,521.98, 57,780.54 and 13,564.26

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Solution

The fourth proportional to 38,521.98, 57,780.54 and 13,564.26 is: 20,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.98 : 57,780.54 = 13,564.26 : x
  2. Step 2: Convert to fraction form
    38,521.98/57,780.54 = 13,564.26/x
  3. Step 3: Cross multiply
    38,521.98x = 57,780.54 × 13,564.26
  4. Step 4: Simplify right side
    38,521.98x = 783,750,267.50
  5. Step 5: Solve for x
    x = 783,750,267.50/38,521.98
  6. Step 6: Final answer
    x = 20,345.53

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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.