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Finding the Fourth Proportional to 46,672.80, 70,013.56 and 18,586.08

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Solution

The fourth proportional to 46,672.80, 70,013.56 and 18,586.08 is: 27,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,672.80 : 70,013.56 = 18,586.08 : x
  2. Step 2: Convert to fraction form
    46,672.80/70,013.56 = 18,586.08/x
  3. Step 3: Cross multiply
    46,672.80x = 70,013.56 × 18,586.08
  4. Step 4: Simplify right side
    46,672.80x = 1,301,277,799.47
  5. Step 5: Solve for x
    x = 1,301,277,799.47/46,672.80
  6. Step 6: Final answer
    x = 27,880.86

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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.