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Finding the Fourth Proportional to 98,833.96, 136,390.92 and 53,512.24

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Solution

The fourth proportional to 98,833.96, 136,390.92 and 53,512.24 is: 73,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,833.96 : 136,390.92 = 53,512.24 : x
  2. Step 2: Convert to fraction form
    98,833.96/136,390.92 = 53,512.24/x
  3. Step 3: Cross multiply
    98,833.96x = 136,390.92 × 53,512.24
  4. Step 4: Simplify right side
    98,833.96x = 7,298,583,644.86
  5. Step 5: Solve for x
    x = 7,298,583,644.86/98,833.96
  6. Step 6: Final answer
    x = 73,846.92

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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.