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Finding the Fourth Proportional to 84,744, 116,946.63 and 46,503.77

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Solution

The fourth proportional to 84,744, 116,946.63 and 46,503.77 is: 64,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744 : 116,946.63 = 46,503.77 : x
  2. Step 2: Convert to fraction form
    84,744/116,946.63 = 46,503.77/x
  3. Step 3: Cross multiply
    84,744x = 116,946.63 × 46,503.77
  4. Step 4: Simplify right side
    84,744x = 5,438,458,599.06
  5. Step 5: Solve for x
    x = 5,438,458,599.06/84,744
  6. Step 6: Final answer
    x = 64,175.15

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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.