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Finding the Fourth Proportional to 47,477.92, 71,192.84 and 15,876.74

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Solution

The fourth proportional to 47,477.92, 71,192.84 and 15,876.74 is: 23,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,477.92 : 71,192.84 = 15,876.74 : x
  2. Step 2: Convert to fraction form
    47,477.92/71,192.84 = 15,876.74/x
  3. Step 3: Cross multiply
    47,477.92x = 71,192.84 × 15,876.74
  4. Step 4: Simplify right side
    47,477.92x = 1,130,310,210.54
  5. Step 5: Solve for x
    x = 1,130,310,210.54/47,477.92
  6. Step 6: Final answer
    x = 23,807.07

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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.