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Finding the Fourth Proportional to 97,536, 134,599.68 and 52,824

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Solution

The fourth proportional to 97,536, 134,599.68 and 52,824 is: 72,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536 : 134,599.68 = 52,824 : x
  2. Step 2: Convert to fraction form
    97,536/134,599.68 = 52,824/x
  3. Step 3: Cross multiply
    97,536x = 134,599.68 × 52,824
  4. Step 4: Simplify right side
    97,536x = 7,110,093,496.32
  5. Step 5: Solve for x
    x = 7,110,093,496.32/97,536
  6. Step 6: Final answer
    x = 72,897.12

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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.