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Finding the Fourth Proportional to 97,546.48, 134,613.30 and 52,834.48

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Solution

The fourth proportional to 97,546.48, 134,613.30 and 52,834.48 is: 72,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,546.48 : 134,613.30 = 52,834.48 : x
  2. Step 2: Convert to fraction form
    97,546.48/134,613.30 = 52,834.48/x
  3. Step 3: Cross multiply
    97,546.48x = 134,613.30 × 52,834.48
  4. Step 4: Simplify right side
    97,546.48x = 7,112,223,706.58
  5. Step 5: Solve for x
    x = 7,112,223,706.58/97,546.48
  6. Step 6: Final answer
    x = 72,911.13

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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.