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Finding the Fourth Proportional to 56,823.50, 78,416.43 and 31,673

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Solution

The fourth proportional to 56,823.50, 78,416.43 and 31,673 is: 43,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,823.50 : 78,416.43 = 31,673 : x
  2. Step 2: Convert to fraction form
    56,823.50/78,416.43 = 31,673/x
  3. Step 3: Cross multiply
    56,823.50x = 78,416.43 × 31,673
  4. Step 4: Simplify right side
    56,823.50x = 2,483,683,587.39
  5. Step 5: Solve for x
    x = 2,483,683,587.39/56,823.50
  6. Step 6: Final answer
    x = 43,708.74

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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.