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Finding the Fourth Proportional to 46,957.50, 70,419.96 and 18,869.22

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Solution

The fourth proportional to 46,957.50, 70,419.96 and 18,869.22 is: 28,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.50 : 70,419.96 = 18,869.22 : x
  2. Step 2: Convert to fraction form
    46,957.50/70,419.96 = 18,869.22/x
  3. Step 3: Cross multiply
    46,957.50x = 70,419.96 × 18,869.22
  4. Step 4: Simplify right side
    46,957.50x = 1,328,769,717.63
  5. Step 5: Solve for x
    x = 1,328,769,717.63/46,957.50
  6. Step 6: Final answer
    x = 28,297.28

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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.