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Finding the Fourth Proportional to 97,771, 134,925.60 and 53,059

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Solution

The fourth proportional to 97,771, 134,925.60 and 53,059 is: 73,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,771 : 134,925.60 = 53,059 : x
  2. Step 2: Convert to fraction form
    97,771/134,925.60 = 53,059/x
  3. Step 3: Cross multiply
    97,771x = 134,925.60 × 53,059
  4. Step 4: Simplify right side
    97,771x = 7,159,017,410.40
  5. Step 5: Solve for x
    x = 7,159,017,410.40/97,771
  6. Step 6: Final answer
    x = 73,222.30

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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.