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Finding the Fourth Proportional to 70,649.64, 105,714.18 and 42,586.20

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Solution

The fourth proportional to 70,649.64, 105,714.18 and 42,586.20 is: 63,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,649.64 : 105,714.18 = 42,586.20 : x
  2. Step 2: Convert to fraction form
    70,649.64/105,714.18 = 42,586.20/x
  3. Step 3: Cross multiply
    70,649.64x = 105,714.18 × 42,586.20
  4. Step 4: Simplify right side
    70,649.64x = 4,501,965,212.32
  5. Step 5: Solve for x
    x = 4,501,965,212.32/70,649.64
  6. Step 6: Final answer
    x = 63,722.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.