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Finding the Fourth Proportional to 77,898.68, 116,801.22 and 30,457.25

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Solution

The fourth proportional to 77,898.68, 116,801.22 and 30,457.25 is: 45,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,898.68 : 116,801.22 = 30,457.25 : x
  2. Step 2: Convert to fraction form
    77,898.68/116,801.22 = 30,457.25/x
  3. Step 3: Cross multiply
    77,898.68x = 116,801.22 × 30,457.25
  4. Step 4: Simplify right side
    77,898.68x = 3,557,443,957.85
  5. Step 5: Solve for x
    x = 3,557,443,957.85/77,898.68
  6. Step 6: Final answer
    x = 45,667.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.