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Finding the Fourth Proportional to 97,683.96, 146,526.12 and 35,339.88

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Solution

The fourth proportional to 97,683.96, 146,526.12 and 35,339.88 is: 53,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,683.96 : 146,526.12 = 35,339.88 : x
  2. Step 2: Convert to fraction form
    97,683.96/146,526.12 = 35,339.88/x
  3. Step 3: Cross multiply
    97,683.96x = 146,526.12 × 35,339.88
  4. Step 4: Simplify right side
    97,683.96x = 5,178,215,497.67
  5. Step 5: Solve for x
    x = 5,178,215,497.67/97,683.96
  6. Step 6: Final answer
    x = 53,009.89

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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.