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Finding the Fourth Proportional to 98,795.69, 148,193.53 and 36,466.19

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Solution

The fourth proportional to 98,795.69, 148,193.53 and 36,466.19 is: 54,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,795.69 : 148,193.53 = 36,466.19 : x
  2. Step 2: Convert to fraction form
    98,795.69/148,193.53 = 36,466.19/x
  3. Step 3: Cross multiply
    98,795.69x = 148,193.53 × 36,466.19
  4. Step 4: Simplify right side
    98,795.69x = 5,404,053,421.75
  5. Step 5: Solve for x
    x = 5,404,053,421.75/98,795.69
  6. Step 6: Final answer
    x = 54,699.28

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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.