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Finding the Fourth Proportional to 70,459.25, 97,232.94 and 38,628.14

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Solution

The fourth proportional to 70,459.25, 97,232.94 and 38,628.14 is: 53,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,459.25 : 97,232.94 = 38,628.14 : x
  2. Step 2: Convert to fraction form
    70,459.25/97,232.94 = 38,628.14/x
  3. Step 3: Cross multiply
    70,459.25x = 97,232.94 × 38,628.14
  4. Step 4: Simplify right side
    70,459.25x = 3,755,927,132.77
  5. Step 5: Solve for x
    x = 3,755,927,132.77/70,459.25
  6. Step 6: Final answer
    x = 53,306.38

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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.