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Finding the Fourth Proportional to 96,684.84, 144,838.80 and 54,435.78

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Solution

The fourth proportional to 96,684.84, 144,838.80 and 54,435.78 is: 81,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,684.84 : 144,838.80 = 54,435.78 : x
  2. Step 2: Convert to fraction form
    96,684.84/144,838.80 = 54,435.78/x
  3. Step 3: Cross multiply
    96,684.84x = 144,838.80 × 54,435.78
  4. Step 4: Simplify right side
    96,684.84x = 7,884,413,052.26
  5. Step 5: Solve for x
    x = 7,884,413,052.26/96,684.84
  6. Step 6: Final answer
    x = 81,547.56

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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.