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Finding the Fourth Proportional to 97,418, 134,436.84 and 52,706

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Solution

The fourth proportional to 97,418, 134,436.84 and 52,706 is: 72,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,418 : 134,436.84 = 52,706 : x
  2. Step 2: Convert to fraction form
    97,418/134,436.84 = 52,706/x
  3. Step 3: Cross multiply
    97,418x = 134,436.84 × 52,706
  4. Step 4: Simplify right side
    97,418x = 7,085,628,089.04
  5. Step 5: Solve for x
    x = 7,085,628,089.04/97,418
  6. Step 6: Final answer
    x = 72,734.28

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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.