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Finding the Fourth Proportional to 71,148.92, 98,206.02 and 46,967.58

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Solution

The fourth proportional to 71,148.92, 98,206.02 and 46,967.58 is: 64,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,148.92 : 98,206.02 = 46,967.58 : x
  2. Step 2: Convert to fraction form
    71,148.92/98,206.02 = 46,967.58/x
  3. Step 3: Cross multiply
    71,148.92x = 98,206.02 × 46,967.58
  4. Step 4: Simplify right side
    71,148.92x = 4,612,499,100.83
  5. Step 5: Solve for x
    x = 4,612,499,100.83/71,148.92
  6. Step 6: Final answer
    x = 64,828.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.