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Finding the Fourth Proportional to 84,154.68, 116,125.38 and 46,426.50

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Solution

The fourth proportional to 84,154.68, 116,125.38 and 46,426.50 is: 64,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,154.68 : 116,125.38 = 46,426.50 : x
  2. Step 2: Convert to fraction form
    84,154.68/116,125.38 = 46,426.50/x
  3. Step 3: Cross multiply
    84,154.68x = 116,125.38 × 46,426.50
  4. Step 4: Simplify right side
    84,154.68x = 5,391,294,954.57
  5. Step 5: Solve for x
    x = 5,391,294,954.57/84,154.68
  6. Step 6: Final answer
    x = 64,064.11

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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.