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Finding the Fourth Proportional to 57,751.08, 86,505.78 and 46,445.30

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Solution

The fourth proportional to 57,751.08, 86,505.78 and 46,445.30 is: 69,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,751.08 : 86,505.78 = 46,445.30 : x
  2. Step 2: Convert to fraction form
    57,751.08/86,505.78 = 46,445.30/x
  3. Step 3: Cross multiply
    57,751.08x = 86,505.78 × 46,445.30
  4. Step 4: Simplify right side
    57,751.08x = 4,017,786,903.83
  5. Step 5: Solve for x
    x = 4,017,786,903.83/57,751.08
  6. Step 6: Final answer
    x = 69,570.77

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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.