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Finding the Fourth Proportional to 97,806.72, 134,973.36 and 53,094.72

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Solution

The fourth proportional to 97,806.72, 134,973.36 and 53,094.72 is: 73,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.72 : 134,973.36 = 53,094.72 : x
  2. Step 2: Convert to fraction form
    97,806.72/134,973.36 = 53,094.72/x
  3. Step 3: Cross multiply
    97,806.72x = 134,973.36 × 53,094.72
  4. Step 4: Simplify right side
    97,806.72x = 7,166,372,756.66
  5. Step 5: Solve for x
    x = 7,166,372,756.66/97,806.72
  6. Step 6: Final answer
    x = 73,270.76

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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.