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Finding the Fourth Proportional to 70,821.48, 97,814.56 and 48,122.56

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Solution

The fourth proportional to 70,821.48, 97,814.56 and 48,122.56 is: 66,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821.48 : 97,814.56 = 48,122.56 : x
  2. Step 2: Convert to fraction form
    70,821.48/97,814.56 = 48,122.56/x
  3. Step 3: Cross multiply
    70,821.48x = 97,814.56 × 48,122.56
  4. Step 4: Simplify right side
    70,821.48x = 4,707,087,032.47
  5. Step 5: Solve for x
    x = 4,707,087,032.47/70,821.48
  6. Step 6: Final answer
    x = 66,464.12

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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.