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Finding the Fourth Proportional to 96,411.16, 133,050.18 and 53,969.44

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Solution

The fourth proportional to 96,411.16, 133,050.18 and 53,969.44 is: 74,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,411.16 : 133,050.18 = 53,969.44 : x
  2. Step 2: Convert to fraction form
    96,411.16/133,050.18 = 53,969.44/x
  3. Step 3: Cross multiply
    96,411.16x = 133,050.18 × 53,969.44
  4. Step 4: Simplify right side
    96,411.16x = 7,180,643,706.50
  5. Step 5: Solve for x
    x = 7,180,643,706.50/96,411.16
  6. Step 6: Final answer
    x = 74,479.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.