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Finding the Fourth Proportional to 105,488.16, 145,573.65 and 57,741.54

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Solution

The fourth proportional to 105,488.16, 145,573.65 and 57,741.54 is: 79,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,488.16 : 145,573.65 = 57,741.54 : x
  2. Step 2: Convert to fraction form
    105,488.16/145,573.65 = 57,741.54/x
  3. Step 3: Cross multiply
    105,488.16x = 145,573.65 × 57,741.54
  4. Step 4: Simplify right side
    105,488.16x = 8,405,646,734.42
  5. Step 5: Solve for x
    x = 8,405,646,734.42/105,488.16
  6. Step 6: Final answer
    x = 79,683.32

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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.