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Finding the Fourth Proportional to 47,009.66, 70,469.53 and 17,419.55

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Solution

The fourth proportional to 47,009.66, 70,469.53 and 17,419.55 is: 26,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,009.66 : 70,469.53 = 17,419.55 : x
  2. Step 2: Convert to fraction form
    47,009.66/70,469.53 = 17,419.55/x
  3. Step 3: Cross multiply
    47,009.66x = 70,469.53 × 17,419.55
  4. Step 4: Simplify right side
    47,009.66x = 1,227,547,105.41
  5. Step 5: Solve for x
    x = 1,227,547,105.41/47,009.66
  6. Step 6: Final answer
    x = 26,112.66

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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.