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Finding the Fourth Proportional to 96,051.64, 144,060.72 and 43,448.80

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Solution

The fourth proportional to 96,051.64, 144,060.72 and 43,448.80 is: 65,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,051.64 : 144,060.72 = 43,448.80 : x
  2. Step 2: Convert to fraction form
    96,051.64/144,060.72 = 43,448.80/x
  3. Step 3: Cross multiply
    96,051.64x = 144,060.72 × 43,448.80
  4. Step 4: Simplify right side
    96,051.64x = 6,259,265,411.14
  5. Step 5: Solve for x
    x = 6,259,265,411.14/96,051.64
  6. Step 6: Final answer
    x = 65,165.63

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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.