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Finding the Fourth Proportional to 97,519.96, 146,266.98 and 38,339.74

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Solution

The fourth proportional to 97,519.96, 146,266.98 and 38,339.74 is: 57,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,519.96 : 146,266.98 = 38,339.74 : x
  2. Step 2: Convert to fraction form
    97,519.96/146,266.98 = 38,339.74/x
  3. Step 3: Cross multiply
    97,519.96x = 146,266.98 × 38,339.74
  4. Step 4: Simplify right side
    97,519.96x = 5,607,837,983.79
  5. Step 5: Solve for x
    x = 5,607,837,983.79/97,519.96
  6. Step 6: Final answer
    x = 57,504.51

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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.