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Finding the Fourth Proportional to 117,643.48, 176,464.80 and 51,074.92

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Solution

The fourth proportional to 117,643.48, 176,464.80 and 51,074.92 is: 76,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.48 : 176,464.80 = 51,074.92 : x
  2. Step 2: Convert to fraction form
    117,643.48/176,464.80 = 51,074.92/x
  3. Step 3: Cross multiply
    117,643.48x = 176,464.80 × 51,074.92
  4. Step 4: Simplify right side
    117,643.48x = 9,012,925,542.82
  5. Step 5: Solve for x
    x = 9,012,925,542.82/117,643.48
  6. Step 6: Final answer
    x = 76,612.20

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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.