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Finding the Fourth Proportional to 97,381, 134,385.79 and 52,669

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Solution

The fourth proportional to 97,381, 134,385.79 and 52,669 is: 72,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,381 : 134,385.79 = 52,669 : x
  2. Step 2: Convert to fraction form
    97,381/134,385.79 = 52,669/x
  3. Step 3: Cross multiply
    97,381x = 134,385.79 × 52,669
  4. Step 4: Simplify right side
    97,381x = 7,077,965,173.51
  5. Step 5: Solve for x
    x = 7,077,965,173.51/97,381
  6. Step 6: Final answer
    x = 72,683.23

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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.