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Finding the Fourth Proportional to 84,149.81, 116,118.65 and 46,421.63

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Solution

The fourth proportional to 84,149.81, 116,118.65 and 46,421.63 is: 64,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,149.81 : 116,118.65 = 46,421.63 : x
  2. Step 2: Convert to fraction form
    84,149.81/116,118.65 = 46,421.63/x
  3. Step 3: Cross multiply
    84,149.81x = 116,118.65 × 46,421.63
  4. Step 4: Simplify right side
    84,149.81x = 5,390,416,193.70
  5. Step 5: Solve for x
    x = 5,390,416,193.70/84,149.81
  6. Step 6: Final answer
    x = 64,057.38

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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.