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Finding the Fourth Proportional to 83,672, 115,467.48 and 45,948.80

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Solution

The fourth proportional to 83,672, 115,467.48 and 45,948.80 is: 63,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672 : 115,467.48 = 45,948.80 : x
  2. Step 2: Convert to fraction form
    83,672/115,467.48 = 45,948.80/x
  3. Step 3: Cross multiply
    83,672x = 115,467.48 × 45,948.80
  4. Step 4: Simplify right side
    83,672x = 5,305,592,145.02
  5. Step 5: Solve for x
    x = 5,305,592,145.02/83,672
  6. Step 6: Final answer
    x = 63,409.41

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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.