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Finding the Fourth Proportional to 70,429.64, 97,193.76 and 38,597.86

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Solution

The fourth proportional to 70,429.64, 97,193.76 and 38,597.86 is: 53,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,429.64 : 97,193.76 = 38,597.86 : x
  2. Step 2: Convert to fraction form
    70,429.64/97,193.76 = 38,597.86/x
  3. Step 3: Cross multiply
    70,429.64x = 97,193.76 × 38,597.86
  4. Step 4: Simplify right side
    70,429.64x = 3,751,470,655.38
  5. Step 5: Solve for x
    x = 3,751,470,655.38/70,429.64
  6. Step 6: Final answer
    x = 53,265.51

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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.