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Finding the Fourth Proportional to 97,762.86, 134,912.07 and 53,050.86

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Solution

The fourth proportional to 97,762.86, 134,912.07 and 53,050.86 is: 73,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,762.86 : 134,912.07 = 53,050.86 : x
  2. Step 2: Convert to fraction form
    97,762.86/134,912.07 = 53,050.86/x
  3. Step 3: Cross multiply
    97,762.86x = 134,912.07 × 53,050.86
  4. Step 4: Simplify right side
    97,762.86x = 7,157,201,337.88
  5. Step 5: Solve for x
    x = 7,157,201,337.88/97,762.86
  6. Step 6: Final answer
    x = 73,209.82

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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.