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Finding the Fourth Proportional to 97,600, 134,688 and 52,888

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Solution

The fourth proportional to 97,600, 134,688 and 52,888 is: 72,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,600 : 134,688 = 52,888 : x
  2. Step 2: Convert to fraction form
    97,600/134,688 = 52,888/x
  3. Step 3: Cross multiply
    97,600x = 134,688 × 52,888
  4. Step 4: Simplify right side
    97,600x = 7,123,378,944
  5. Step 5: Solve for x
    x = 7,123,378,944/97,600
  6. Step 6: Final answer
    x = 72,985.44

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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.