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Finding the Fourth Proportional to 46,689.27, 70,046.05 and 13,412.04

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Solution

The fourth proportional to 46,689.27, 70,046.05 and 13,412.04 is: 20,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,689.27 : 70,046.05 = 13,412.04 : x
  2. Step 2: Convert to fraction form
    46,689.27/70,046.05 = 13,412.04/x
  3. Step 3: Cross multiply
    46,689.27x = 70,046.05 × 13,412.04
  4. Step 4: Simplify right side
    46,689.27x = 939,460,424.44
  5. Step 5: Solve for x
    x = 939,460,424.44/46,689.27
  6. Step 6: Final answer
    x = 20,121.55

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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.