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Finding the Fourth Proportional to 96,411.85, 133,046.89 and 53,971.90

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Solution

The fourth proportional to 96,411.85, 133,046.89 and 53,971.90 is: 74,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,411.85 : 133,046.89 = 53,971.90 : x
  2. Step 2: Convert to fraction form
    96,411.85/133,046.89 = 53,971.90/x
  3. Step 3: Cross multiply
    96,411.85x = 133,046.89 × 53,971.90
  4. Step 4: Simplify right side
    96,411.85x = 7,180,793,442.39
  5. Step 5: Solve for x
    x = 7,180,793,442.39/96,411.85
  6. Step 6: Final answer
    x = 74,480.40

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1.5x scale

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.