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Finding the Fourth Proportional to 56,202.90, 77,497.07 and 38,308.38

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Solution

The fourth proportional to 56,202.90, 77,497.07 and 38,308.38 is: 52,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.90 : 77,497.07 = 38,308.38 : x
  2. Step 2: Convert to fraction form
    56,202.90/77,497.07 = 38,308.38/x
  3. Step 3: Cross multiply
    56,202.90x = 77,497.07 × 38,308.38
  4. Step 4: Simplify right side
    56,202.90x = 2,968,787,014.90
  5. Step 5: Solve for x
    x = 2,968,787,014.90/56,202.90
  6. Step 6: Final answer
    x = 52,822.67

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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.