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Finding the Fourth Proportional to 56,822.76, 85,258.76 and 30,496.76

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Solution

The fourth proportional to 56,822.76, 85,258.76 and 30,496.76 is: 45,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,822.76 : 85,258.76 = 30,496.76 : x
  2. Step 2: Convert to fraction form
    56,822.76/85,258.76 = 30,496.76/x
  3. Step 3: Cross multiply
    56,822.76x = 85,258.76 × 30,496.76
  4. Step 4: Simplify right side
    56,822.76x = 2,600,115,941.62
  5. Step 5: Solve for x
    x = 2,600,115,941.62/56,822.76
  6. Step 6: Final answer
    x = 45,758.35

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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.