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Finding the Fourth Proportional to 46,881.54, 70,322.10 and 19,179.54

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Solution

The fourth proportional to 46,881.54, 70,322.10 and 19,179.54 is: 28,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,881.54 : 70,322.10 = 19,179.54 : x
  2. Step 2: Convert to fraction form
    46,881.54/70,322.10 = 19,179.54/x
  3. Step 3: Cross multiply
    46,881.54x = 70,322.10 × 19,179.54
  4. Step 4: Simplify right side
    46,881.54x = 1,348,745,529.83
  5. Step 5: Solve for x
    x = 1,348,745,529.83/46,881.54
  6. Step 6: Final answer
    x = 28,769.22

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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.