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Finding the Fourth Proportional to 84,370, 116,433.03 and 46,646.68

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Solution

The fourth proportional to 84,370, 116,433.03 and 46,646.68 is: 64,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,370 : 116,433.03 = 46,646.68 : x
  2. Step 2: Convert to fraction form
    84,370/116,433.03 = 46,646.68/x
  3. Step 3: Cross multiply
    84,370x = 116,433.03 × 46,646.68
  4. Step 4: Simplify right side
    84,370x = 5,431,214,291.84
  5. Step 5: Solve for x
    x = 5,431,214,291.84/84,370
  6. Step 6: Final answer
    x = 64,373.76

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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.