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Finding the Fourth Proportional to 94,458, 130,340.64 and 54,169.68

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Solution

The fourth proportional to 94,458, 130,340.64 and 54,169.68 is: 74,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,458 : 130,340.64 = 54,169.68 : x
  2. Step 2: Convert to fraction form
    94,458/130,340.64 = 54,169.68/x
  3. Step 3: Cross multiply
    94,458x = 130,340.64 × 54,169.68
  4. Step 4: Simplify right side
    94,458x = 7,060,510,759.80
  5. Step 5: Solve for x
    x = 7,060,510,759.80/94,458
  6. Step 6: Final answer
    x = 74,747.62

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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.