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Finding the Fourth Proportional to 97,471.52, 134,495.53 and 55,029.14

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Solution

The fourth proportional to 97,471.52, 134,495.53 and 55,029.14 is: 75,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471.52 : 134,495.53 = 55,029.14 : x
  2. Step 2: Convert to fraction form
    97,471.52/134,495.53 = 55,029.14/x
  3. Step 3: Cross multiply
    97,471.52x = 134,495.53 × 55,029.14
  4. Step 4: Simplify right side
    97,471.52x = 7,401,172,539.69
  5. Step 5: Solve for x
    x = 7,401,172,539.69/97,471.52
  6. Step 6: Final answer
    x = 75,931.65

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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.