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Finding the Fourth Proportional to 105,420.44, 145,483.66 and 57,673.80

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Solution

The fourth proportional to 105,420.44, 145,483.66 and 57,673.80 is: 79,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,420.44 : 145,483.66 = 57,673.80 : x
  2. Step 2: Convert to fraction form
    105,420.44/145,483.66 = 57,673.80/x
  3. Step 3: Cross multiply
    105,420.44x = 145,483.66 × 57,673.80
  4. Step 4: Simplify right side
    105,420.44x = 8,390,595,510.11
  5. Step 5: Solve for x
    x = 8,390,595,510.11/105,420.44
  6. Step 6: Final answer
    x = 79,591.73

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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.