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Finding the Fourth Proportional to 70,882.20, 97,822.98 and 39,056.81

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Solution

The fourth proportional to 70,882.20, 97,822.98 and 39,056.81 is: 53,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.20 : 97,822.98 = 39,056.81 : x
  2. Step 2: Convert to fraction form
    70,882.20/97,822.98 = 39,056.81/x
  3. Step 3: Cross multiply
    70,882.20x = 97,822.98 × 39,056.81
  4. Step 4: Simplify right side
    70,882.20x = 3,820,653,054.38
  5. Step 5: Solve for x
    x = 3,820,653,054.38/70,882.20
  6. Step 6: Final answer
    x = 53,901.45

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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.