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Finding the Fourth Proportional to 84,405.76, 116,475 and 46,677.52

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Solution

The fourth proportional to 84,405.76, 116,475 and 46,677.52 is: 64,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,405.76 : 116,475 = 46,677.52 : x
  2. Step 2: Convert to fraction form
    84,405.76/116,475 = 46,677.52/x
  3. Step 3: Cross multiply
    84,405.76x = 116,475 × 46,677.52
  4. Step 4: Simplify right side
    84,405.76x = 5,436,764,142
  5. Step 5: Solve for x
    x = 5,436,764,142/84,405.76
  6. Step 6: Final answer
    x = 64,412.24

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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.