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Finding the Fourth Proportional to 83,571.84, 115,328.80 and 45,848.48

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Solution

The fourth proportional to 83,571.84, 115,328.80 and 45,848.48 is: 63,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,571.84 : 115,328.80 = 45,848.48 : x
  2. Step 2: Convert to fraction form
    83,571.84/115,328.80 = 45,848.48/x
  3. Step 3: Cross multiply
    83,571.84x = 115,328.80 × 45,848.48
  4. Step 4: Simplify right side
    83,571.84x = 5,287,650,180.22
  5. Step 5: Solve for x
    x = 5,287,650,180.22/83,571.84
  6. Step 6: Final answer
    x = 63,270.72

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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.