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Finding the Fourth Proportional to 97,735.16, 134,874.78 and 53,023.16

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Solution

The fourth proportional to 97,735.16, 134,874.78 and 53,023.16 is: 73,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,735.16 : 134,874.78 = 53,023.16 : x
  2. Step 2: Convert to fraction form
    97,735.16/134,874.78 = 53,023.16/x
  3. Step 3: Cross multiply
    97,735.16x = 134,874.78 × 53,023.16
  4. Step 4: Simplify right side
    97,735.16x = 7,151,487,039.90
  5. Step 5: Solve for x
    x = 7,151,487,039.90/97,735.16
  6. Step 6: Final answer
    x = 73,172.10

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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.