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Finding the Fourth Proportional to 84,309.94, 116,349.24 and 46,071.08

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Solution

The fourth proportional to 84,309.94, 116,349.24 and 46,071.08 is: 63,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,309.94 : 116,349.24 = 46,071.08 : x
  2. Step 2: Convert to fraction form
    84,309.94/116,349.24 = 46,071.08/x
  3. Step 3: Cross multiply
    84,309.94x = 116,349.24 × 46,071.08
  4. Step 4: Simplify right side
    84,309.94x = 5,360,334,782.58
  5. Step 5: Solve for x
    x = 5,360,334,782.58/84,309.94
  6. Step 6: Final answer
    x = 63,578.92

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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.