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Finding the Fourth Proportional to 75,460.76, 104,074.05 and 46,760.49

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Solution

The fourth proportional to 75,460.76, 104,074.05 and 46,760.49 is: 64,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460.76 : 104,074.05 = 46,760.49 : x
  2. Step 2: Convert to fraction form
    75,460.76/104,074.05 = 46,760.49/x
  3. Step 3: Cross multiply
    75,460.76x = 104,074.05 × 46,760.49
  4. Step 4: Simplify right side
    75,460.76x = 4,866,553,574.28
  5. Step 5: Solve for x
    x = 4,866,553,574.28/75,460.76
  6. Step 6: Final answer
    x = 64,491.18

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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.