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Finding the Fourth Proportional to 97,707.48, 134,836.57 and 52,995.48

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Solution

The fourth proportional to 97,707.48, 134,836.57 and 52,995.48 is: 73,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,707.48 : 134,836.57 = 52,995.48 : x
  2. Step 2: Convert to fraction form
    97,707.48/134,836.57 = 52,995.48/x
  3. Step 3: Cross multiply
    97,707.48x = 134,836.57 × 52,995.48
  4. Step 4: Simplify right side
    97,707.48x = 7,145,728,748.70
  5. Step 5: Solve for x
    x = 7,145,728,748.70/97,707.48
  6. Step 6: Final answer
    x = 73,133.90

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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.