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Finding the Fourth Proportional to 78,652.56, 108,540.68 and 46,822.56

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Solution

The fourth proportional to 78,652.56, 108,540.68 and 46,822.56 is: 64,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,652.56 : 108,540.68 = 46,822.56 : x
  2. Step 2: Convert to fraction form
    78,652.56/108,540.68 = 46,822.56/x
  3. Step 3: Cross multiply
    78,652.56x = 108,540.68 × 46,822.56
  4. Step 4: Simplify right side
    78,652.56x = 5,082,152,501.74
  5. Step 5: Solve for x
    x = 5,082,152,501.74/78,652.56
  6. Step 6: Final answer
    x = 64,615.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.