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Finding the Fourth Proportional to 96,671.16, 133,413 and 53,652.84

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Solution

The fourth proportional to 96,671.16, 133,413 and 53,652.84 is: 74,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,671.16 : 133,413 = 53,652.84 : x
  2. Step 2: Convert to fraction form
    96,671.16/133,413 = 53,652.84/x
  3. Step 3: Cross multiply
    96,671.16x = 133,413 × 53,652.84
  4. Step 4: Simplify right side
    96,671.16x = 7,157,986,342.92
  5. Step 5: Solve for x
    x = 7,157,986,342.92/96,671.16
  6. Step 6: Final answer
    x = 74,044.69

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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.