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Finding the Fourth Proportional to 38,302.89, 57,455.85 and 13,345.47

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Solution

The fourth proportional to 38,302.89, 57,455.85 and 13,345.47 is: 20,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.89 : 57,455.85 = 13,345.47 : x
  2. Step 2: Convert to fraction form
    38,302.89/57,455.85 = 13,345.47/x
  3. Step 3: Cross multiply
    38,302.89x = 57,455.85 × 13,345.47
  4. Step 4: Simplify right side
    38,302.89x = 766,775,322.50
  5. Step 5: Solve for x
    x = 766,775,322.50/38,302.89
  6. Step 6: Final answer
    x = 20,018.73

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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.