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Finding the Fourth Proportional to 83,594.23, 115,360.02 and 47,785

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Solution

The fourth proportional to 83,594.23, 115,360.02 and 47,785 is: 65,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.23 : 115,360.02 = 47,785 : x
  2. Step 2: Convert to fraction form
    83,594.23/115,360.02 = 47,785/x
  3. Step 3: Cross multiply
    83,594.23x = 115,360.02 × 47,785
  4. Step 4: Simplify right side
    83,594.23x = 5,512,478,555.70
  5. Step 5: Solve for x
    x = 5,512,478,555.70/83,594.23
  6. Step 6: Final answer
    x = 65,943.29

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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.