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Finding the Fourth Proportional to 57,184.52, 85,681.94 and 40,461.66

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Solution

The fourth proportional to 57,184.52, 85,681.94 and 40,461.66 is: 60,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184.52 : 85,681.94 = 40,461.66 : x
  2. Step 2: Convert to fraction form
    57,184.52/85,681.94 = 40,461.66/x
  3. Step 3: Cross multiply
    57,184.52x = 85,681.94 × 40,461.66
  4. Step 4: Simplify right side
    57,184.52x = 3,466,833,322.11
  5. Step 5: Solve for x
    x = 3,466,833,322.11/57,184.52
  6. Step 6: Final answer
    x = 60,625.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.