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Finding the Fourth Proportional to 84,390.72, 116,459 and 48,567.68

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Solution

The fourth proportional to 84,390.72, 116,459 and 48,567.68 is: 67,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,390.72 : 116,459 = 48,567.68 : x
  2. Step 2: Convert to fraction form
    84,390.72/116,459 = 48,567.68/x
  3. Step 3: Cross multiply
    84,390.72x = 116,459 × 48,567.68
  4. Step 4: Simplify right side
    84,390.72x = 5,656,143,445.12
  5. Step 5: Solve for x
    x = 5,656,143,445.12/84,390.72
  6. Step 6: Final answer
    x = 67,023.29

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