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Finding the Fourth Proportional to 82,420.77, 113,733 and 46,610.67

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Solution

The fourth proportional to 82,420.77, 113,733 and 46,610.67 is: 64,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.77 : 113,733 = 46,610.67 : x
  2. Step 2: Convert to fraction form
    82,420.77/113,733 = 46,610.67/x
  3. Step 3: Cross multiply
    82,420.77x = 113,733 × 46,610.67
  4. Step 4: Simplify right side
    82,420.77x = 5,301,171,331.11
  5. Step 5: Solve for x
    x = 5,301,171,331.11/82,420.77
  6. Step 6: Final answer
    x = 64,318.39

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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.