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Finding the Fourth Proportional to 84,624, 116,781.12 and 46,900.68

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Solution

The fourth proportional to 84,624, 116,781.12 and 46,900.68 is: 64,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624 : 116,781.12 = 46,900.68 : x
  2. Step 2: Convert to fraction form
    84,624/116,781.12 = 46,900.68/x
  3. Step 3: Cross multiply
    84,624x = 116,781.12 × 46,900.68
  4. Step 4: Simplify right side
    84,624x = 5,477,113,939.16
  5. Step 5: Solve for x
    x = 5,477,113,939.16/84,624
  6. Step 6: Final answer
    x = 64,722.94

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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.