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Finding the Fourth Proportional to 32,798.43, 49,154.07 and 13,066.14

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Solution

The fourth proportional to 32,798.43, 49,154.07 and 13,066.14 is: 19,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.43 : 49,154.07 = 13,066.14 : x
  2. Step 2: Convert to fraction form
    32,798.43/49,154.07 = 13,066.14/x
  3. Step 3: Cross multiply
    32,798.43x = 49,154.07 × 13,066.14
  4. Step 4: Simplify right side
    32,798.43x = 642,253,960.19
  5. Step 5: Solve for x
    x = 642,253,960.19/32,798.43
  6. Step 6: Final answer
    x = 19,581.85

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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.