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Finding the Fourth Proportional to 84,292.92, 116,322.84 and 46,051.20

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Solution

The fourth proportional to 84,292.92, 116,322.84 and 46,051.20 is: 63,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292.92 : 116,322.84 = 46,051.20 : x
  2. Step 2: Convert to fraction form
    84,292.92/116,322.84 = 46,051.20/x
  3. Step 3: Cross multiply
    84,292.92x = 116,322.84 × 46,051.20
  4. Step 4: Simplify right side
    84,292.92x = 5,356,806,369.41
  5. Step 5: Solve for x
    x = 5,356,806,369.41/84,292.92
  6. Step 6: Final answer
    x = 63,549.90

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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.