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Finding the Fourth Proportional to 57,019.18, 78,683.29 and 31,524.06

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Solution

The fourth proportional to 57,019.18, 78,683.29 and 31,524.06 is: 43,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019.18 : 78,683.29 = 31,524.06 : x
  2. Step 2: Convert to fraction form
    57,019.18/78,683.29 = 31,524.06/x
  3. Step 3: Cross multiply
    57,019.18x = 78,683.29 × 31,524.06
  4. Step 4: Simplify right side
    57,019.18x = 2,480,416,754.96
  5. Step 5: Solve for x
    x = 2,480,416,754.96/57,019.18
  6. Step 6: Final answer
    x = 43,501.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.