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Finding the Fourth Proportional to 96,446.40, 144,712.80 and 43,828.80

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Solution

The fourth proportional to 96,446.40, 144,712.80 and 43,828.80 is: 65,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,446.40 : 144,712.80 = 43,828.80 : x
  2. Step 2: Convert to fraction form
    96,446.40/144,712.80 = 43,828.80/x
  3. Step 3: Cross multiply
    96,446.40x = 144,712.80 × 43,828.80
  4. Step 4: Simplify right side
    96,446.40x = 6,342,588,368.64
  5. Step 5: Solve for x
    x = 6,342,588,368.64/96,446.40
  6. Step 6: Final answer
    x = 65,762.83

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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.