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Finding the Fourth Proportional to 76,508.40, 105,584.25 and 42,518.32

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Solution

The fourth proportional to 76,508.40, 105,584.25 and 42,518.32 is: 58,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508.40 : 105,584.25 = 42,518.32 : x
  2. Step 2: Convert to fraction form
    76,508.40/105,584.25 = 42,518.32/x
  3. Step 3: Cross multiply
    76,508.40x = 105,584.25 × 42,518.32
  4. Step 4: Simplify right side
    76,508.40x = 4,489,264,524.99
  5. Step 5: Solve for x
    x = 4,489,264,524.99/76,508.40
  6. Step 6: Final answer
    x = 58,676.75

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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.