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Finding the Fourth Proportional to 97,966.52, 135,193.88 and 53,254.52

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Solution

The fourth proportional to 97,966.52, 135,193.88 and 53,254.52 is: 73,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,966.52 : 135,193.88 = 53,254.52 : x
  2. Step 2: Convert to fraction form
    97,966.52/135,193.88 = 53,254.52/x
  3. Step 3: Cross multiply
    97,966.52x = 135,193.88 × 53,254.52
  4. Step 4: Simplify right side
    97,966.52x = 7,199,685,186.34
  5. Step 5: Solve for x
    x = 7,199,685,186.34/97,966.52
  6. Step 6: Final answer
    x = 73,491.28

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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.