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Finding the Fourth Proportional to 37,820.70, 56,714.30 and 14,430.78

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Solution

The fourth proportional to 37,820.70, 56,714.30 and 14,430.78 is: 21,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.70 : 56,714.30 = 14,430.78 : x
  2. Step 2: Convert to fraction form
    37,820.70/56,714.30 = 14,430.78/x
  3. Step 3: Cross multiply
    37,820.70x = 56,714.30 × 14,430.78
  4. Step 4: Simplify right side
    37,820.70x = 818,431,586.15
  5. Step 5: Solve for x
    x = 818,431,586.15/37,820.70
  6. Step 6: Final answer
    x = 21,639.78

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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.