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Finding the Fourth Proportional to 97,684, 134,803.92 and 52,972

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Solution

The fourth proportional to 97,684, 134,803.92 and 52,972 is: 73,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,684 : 134,803.92 = 52,972 : x
  2. Step 2: Convert to fraction form
    97,684/134,803.92 = 52,972/x
  3. Step 3: Cross multiply
    97,684x = 134,803.92 × 52,972
  4. Step 4: Simplify right side
    97,684x = 7,140,833,250.24
  5. Step 5: Solve for x
    x = 7,140,833,250.24/97,684
  6. Step 6: Final answer
    x = 73,101.36

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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.