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Finding the Fourth Proportional to 70,802.96, 97,710.86 and 38,974.82

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Solution

The fourth proportional to 70,802.96, 97,710.86 and 38,974.82 is: 53,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.96 : 97,710.86 = 38,974.82 : x
  2. Step 2: Convert to fraction form
    70,802.96/97,710.86 = 38,974.82/x
  3. Step 3: Cross multiply
    70,802.96x = 97,710.86 × 38,974.82
  4. Step 4: Simplify right side
    70,802.96x = 3,808,263,180.55
  5. Step 5: Solve for x
    x = 3,808,263,180.55/70,802.96
  6. Step 6: Final answer
    x = 53,786.78

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1.5x scale

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.