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Finding the Fourth Proportional to 84,296.64, 116,334.81 and 46,570.89

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Solution

The fourth proportional to 84,296.64, 116,334.81 and 46,570.89 is: 64,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296.64 : 116,334.81 = 46,570.89 : x
  2. Step 2: Convert to fraction form
    84,296.64/116,334.81 = 46,570.89/x
  3. Step 3: Cross multiply
    84,296.64x = 116,334.81 × 46,570.89
  4. Step 4: Simplify right side
    84,296.64x = 5,417,815,639.68
  5. Step 5: Solve for x
    x = 5,417,815,639.68/84,296.64
  6. Step 6: Final answer
    x = 64,270.84

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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.