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Finding the Fourth Proportional to 70,516.81, 97,298.89 and 41,823.88

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Solution

The fourth proportional to 70,516.81, 97,298.89 and 41,823.88 is: 57,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516.81 : 97,298.89 = 41,823.88 : x
  2. Step 2: Convert to fraction form
    70,516.81/97,298.89 = 41,823.88/x
  3. Step 3: Cross multiply
    70,516.81x = 97,298.89 × 41,823.88
  4. Step 4: Simplify right side
    70,516.81x = 4,069,417,099.49
  5. Step 5: Solve for x
    x = 4,069,417,099.49/70,516.81
  6. Step 6: Final answer
    x = 57,708.47

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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.