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Finding the Fourth Proportional to 47,798.92, 71,294.99 and 41,509.48

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Solution

The fourth proportional to 47,798.92, 71,294.99 and 41,509.48 is: 61,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798.92 : 71,294.99 = 41,509.48 : x
  2. Step 2: Convert to fraction form
    47,798.92/71,294.99 = 41,509.48/x
  3. Step 3: Cross multiply
    47,798.92x = 71,294.99 × 41,509.48
  4. Step 4: Simplify right side
    47,798.92x = 2,959,417,961.51
  5. Step 5: Solve for x
    x = 2,959,417,961.51/47,798.92
  6. Step 6: Final answer
    x = 61,913.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.