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Finding the Fourth Proportional to 96,342.40, 144,513.60 and 34,019.20

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Solution

The fourth proportional to 96,342.40, 144,513.60 and 34,019.20 is: 51,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,342.40 : 144,513.60 = 34,019.20 : x
  2. Step 2: Convert to fraction form
    96,342.40/144,513.60 = 34,019.20/x
  3. Step 3: Cross multiply
    96,342.40x = 144,513.60 × 34,019.20
  4. Step 4: Simplify right side
    96,342.40x = 4,916,237,061.12
  5. Step 5: Solve for x
    x = 4,916,237,061.12/96,342.40
  6. Step 6: Final answer
    x = 51,028.80

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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.