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Finding the Fourth Proportional to 76,343.32, 114,398.16 and 40,809.66

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Solution

The fourth proportional to 76,343.32, 114,398.16 and 40,809.66 is: 61,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.32 : 114,398.16 = 40,809.66 : x
  2. Step 2: Convert to fraction form
    76,343.32/114,398.16 = 40,809.66/x
  3. Step 3: Cross multiply
    76,343.32x = 114,398.16 × 40,809.66
  4. Step 4: Simplify right side
    76,343.32x = 4,668,550,014.23
  5. Step 5: Solve for x
    x = 4,668,550,014.23/76,343.32
  6. Step 6: Final answer
    x = 61,152.04

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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.