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Finding the Fourth Proportional to 96,013.54, 144,093.82 and 43,459.93

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Solution

The fourth proportional to 96,013.54, 144,093.82 and 43,459.93 is: 65,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,013.54 : 144,093.82 = 43,459.93 : x
  2. Step 2: Convert to fraction form
    96,013.54/144,093.82 = 43,459.93/x
  3. Step 3: Cross multiply
    96,013.54x = 144,093.82 × 43,459.93
  4. Step 4: Simplify right side
    96,013.54x = 6,262,307,330.63
  5. Step 5: Solve for x
    x = 6,262,307,330.63/96,013.54
  6. Step 6: Final answer
    x = 65,223.17

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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.