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Finding the Fourth Proportional to 97,336, 146,019.80 and 38,139.58

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Solution

The fourth proportional to 97,336, 146,019.80 and 38,139.58 is: 57,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,336 : 146,019.80 = 38,139.58 : x
  2. Step 2: Convert to fraction form
    97,336/146,019.80 = 38,139.58/x
  3. Step 3: Cross multiply
    97,336x = 146,019.80 × 38,139.58
  4. Step 4: Simplify right side
    97,336x = 5,569,133,843.68
  5. Step 5: Solve for x
    x = 5,569,133,843.68/97,336
  6. Step 6: Final answer
    x = 57,215.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.