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Finding the Fourth Proportional to 84,468.10, 116,564.49 and 48,658

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Solution

The fourth proportional to 84,468.10, 116,564.49 and 48,658 is: 67,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,468.10 : 116,564.49 = 48,658 : x
  2. Step 2: Convert to fraction form
    84,468.10/116,564.49 = 48,658/x
  3. Step 3: Cross multiply
    84,468.10x = 116,564.49 × 48,658
  4. Step 4: Simplify right side
    84,468.10x = 5,671,794,954.42
  5. Step 5: Solve for x
    x = 5,671,794,954.42/84,468.10
  6. Step 6: Final answer
    x = 67,147.18

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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.