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Finding the Fourth Proportional to 97,673.72, 146,519.22 and 53,281.40

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Solution

The fourth proportional to 97,673.72, 146,519.22 and 53,281.40 is: 79,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,673.72 : 146,519.22 = 53,281.40 : x
  2. Step 2: Convert to fraction form
    97,673.72/146,519.22 = 53,281.40/x
  3. Step 3: Cross multiply
    97,673.72x = 146,519.22 × 53,281.40
  4. Step 4: Simplify right side
    97,673.72x = 7,806,749,168.51
  5. Step 5: Solve for x
    x = 7,806,749,168.51/97,673.72
  6. Step 6: Final answer
    x = 79,926.81

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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.