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Finding the Fourth Proportional to 97,592, 134,677.12 and 52,880

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Solution

The fourth proportional to 97,592, 134,677.12 and 52,880 is: 72,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,592 : 134,677.12 = 52,880 : x
  2. Step 2: Convert to fraction form
    97,592/134,677.12 = 52,880/x
  3. Step 3: Cross multiply
    97,592x = 134,677.12 × 52,880
  4. Step 4: Simplify right side
    97,592x = 7,121,726,105.60
  5. Step 5: Solve for x
    x = 7,121,726,105.60/97,592
  6. Step 6: Final answer
    x = 72,974.49

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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.