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Finding the Fourth Proportional to 105,559.92, 145,672.68 and 57,813.39

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Solution

The fourth proportional to 105,559.92, 145,672.68 and 57,813.39 is: 79,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,559.92 : 145,672.68 = 57,813.39 : x
  2. Step 2: Convert to fraction form
    105,559.92/145,672.68 = 57,813.39/x
  3. Step 3: Cross multiply
    105,559.92x = 145,672.68 × 57,813.39
  4. Step 4: Simplify right side
    105,559.92x = 8,421,831,461.19
  5. Step 5: Solve for x
    x = 8,421,831,461.19/105,559.92
  6. Step 6: Final answer
    x = 79,782.47

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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.