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Finding the Fourth Proportional to 97,782.96, 134,939.40 and 54,762.84

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Solution

The fourth proportional to 97,782.96, 134,939.40 and 54,762.84 is: 75,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782.96 : 134,939.40 = 54,762.84 : x
  2. Step 2: Convert to fraction form
    97,782.96/134,939.40 = 54,762.84/x
  3. Step 3: Cross multiply
    97,782.96x = 134,939.40 × 54,762.84
  4. Step 4: Simplify right side
    97,782.96x = 7,389,664,771.90
  5. Step 5: Solve for x
    x = 7,389,664,771.90/97,782.96
  6. Step 6: Final answer
    x = 75,572.11

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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.