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Finding the Fourth Proportional to 57,216.42, 85,824.63 and 46,675.08

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Solution

The fourth proportional to 57,216.42, 85,824.63 and 46,675.08 is: 70,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,216.42 : 85,824.63 = 46,675.08 : x
  2. Step 2: Convert to fraction form
    57,216.42/85,824.63 = 46,675.08/x
  3. Step 3: Cross multiply
    57,216.42x = 85,824.63 × 46,675.08
  4. Step 4: Simplify right side
    57,216.42x = 4,005,871,471.22
  5. Step 5: Solve for x
    x = 4,005,871,471.22/57,216.42
  6. Step 6: Final answer
    x = 70,012.62

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Why These Related Problems?

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