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Finding the Fourth Proportional to 47,673.63, 71,496.81 and 19,210.50

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Solution

The fourth proportional to 47,673.63, 71,496.81 and 19,210.50 is: 28,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,673.63 : 71,496.81 = 19,210.50 : x
  2. Step 2: Convert to fraction form
    47,673.63/71,496.81 = 19,210.50/x
  3. Step 3: Cross multiply
    47,673.63x = 71,496.81 × 19,210.50
  4. Step 4: Simplify right side
    47,673.63x = 1,373,489,468.51
  5. Step 5: Solve for x
    x = 1,373,489,468.51/47,673.63
  6. Step 6: Final answer
    x = 28,810.26

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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.