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Finding the Fourth Proportional to 97,588, 134,671.54 and 52,876

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Solution

The fourth proportional to 97,588, 134,671.54 and 52,876 is: 72,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,588 : 134,671.54 = 52,876 : x
  2. Step 2: Convert to fraction form
    97,588/134,671.54 = 52,876/x
  3. Step 3: Cross multiply
    97,588x = 134,671.54 × 52,876
  4. Step 4: Simplify right side
    97,588x = 7,120,892,349.04
  5. Step 5: Solve for x
    x = 7,120,892,349.04/97,588
  6. Step 6: Final answer
    x = 72,968.93

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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.