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Finding the Fourth Proportional to 97,335, 146,018.30 and 38,138.58

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Solution

The fourth proportional to 97,335, 146,018.30 and 38,138.58 is: 57,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,335 : 146,018.30 = 38,138.58 : x
  2. Step 2: Convert to fraction form
    97,335/146,018.30 = 38,138.58/x
  3. Step 3: Cross multiply
    97,335x = 146,018.30 × 38,138.58
  4. Step 4: Simplify right side
    97,335x = 5,568,930,425.32
  5. Step 5: Solve for x
    x = 5,568,930,425.32/97,335
  6. Step 6: Final answer
    x = 57,214.06

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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.