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Finding the Fourth Proportional to 97,452, 134,484.57 and 52,740

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Solution

The fourth proportional to 97,452, 134,484.57 and 52,740 is: 72,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,452 : 134,484.57 = 52,740 : x
  2. Step 2: Convert to fraction form
    97,452/134,484.57 = 52,740/x
  3. Step 3: Cross multiply
    97,452x = 134,484.57 × 52,740
  4. Step 4: Simplify right side
    97,452x = 7,092,716,221.80
  5. Step 5: Solve for x
    x = 7,092,716,221.80/97,452
  6. Step 6: Final answer
    x = 72,781.64

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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.