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Finding the Fourth Proportional to 38,097.95, 52,557.66 and 24,673.68

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Solution

The fourth proportional to 38,097.95, 52,557.66 and 24,673.68 is: 34,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.95 : 52,557.66 = 24,673.68 : x
  2. Step 2: Convert to fraction form
    38,097.95/52,557.66 = 24,673.68/x
  3. Step 3: Cross multiply
    38,097.95x = 52,557.66 × 24,673.68
  4. Step 4: Simplify right side
    38,097.95x = 1,296,790,884.39
  5. Step 5: Solve for x
    x = 1,296,790,884.39/38,097.95
  6. Step 6: Final answer
    x = 34,038.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.