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Finding the Fourth Proportional to 49,445.16, 74,159.53 and 17,849.16

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Solution

The fourth proportional to 49,445.16, 74,159.53 and 17,849.16 is: 26,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,445.16 : 74,159.53 = 17,849.16 : x
  2. Step 2: Convert to fraction form
    49,445.16/74,159.53 = 17,849.16/x
  3. Step 3: Cross multiply
    49,445.16x = 74,159.53 × 17,849.16
  4. Step 4: Simplify right side
    49,445.16x = 1,323,685,316.49
  5. Step 5: Solve for x
    x = 1,323,685,316.49/49,445.16
  6. Step 6: Final answer
    x = 26,770.78

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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.