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Finding the Fourth Proportional to 76,184, 105,133.92 and 42,650.24

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Solution

The fourth proportional to 76,184, 105,133.92 and 42,650.24 is: 58,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,184 : 105,133.92 = 42,650.24 : x
  2. Step 2: Convert to fraction form
    76,184/105,133.92 = 42,650.24/x
  3. Step 3: Cross multiply
    76,184x = 105,133.92 × 42,650.24
  4. Step 4: Simplify right side
    76,184x = 4,483,986,920.14
  5. Step 5: Solve for x
    x = 4,483,986,920.14/76,184
  6. Step 6: Final answer
    x = 58,857.33

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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.