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Finding the Fourth Proportional to 75,658.32, 104,404.92 and 41,666.16

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Solution

The fourth proportional to 75,658.32, 104,404.92 and 41,666.16 is: 57,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,658.32 : 104,404.92 = 41,666.16 : x
  2. Step 2: Convert to fraction form
    75,658.32/104,404.92 = 41,666.16/x
  3. Step 3: Cross multiply
    75,658.32x = 104,404.92 × 41,666.16
  4. Step 4: Simplify right side
    75,658.32x = 4,350,152,101.51
  5. Step 5: Solve for x
    x = 4,350,152,101.51/75,658.32
  6. Step 6: Final answer
    x = 57,497.34

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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.