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Finding the Fourth Proportional to 97,762.79, 134,912.17 and 53,050.79

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Solution

The fourth proportional to 97,762.79, 134,912.17 and 53,050.79 is: 73,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,762.79 : 134,912.17 = 53,050.79 : x
  2. Step 2: Convert to fraction form
    97,762.79/134,912.17 = 53,050.79/x
  3. Step 3: Cross multiply
    97,762.79x = 134,912.17 × 53,050.79
  4. Step 4: Simplify right side
    97,762.79x = 7,157,197,199.11
  5. Step 5: Solve for x
    x = 7,157,197,199.11/97,762.79
  6. Step 6: Final answer
    x = 73,209.83

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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.