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Finding the Fourth Proportional to 76,753.41, 105,891.62 and 46,516.92

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Solution

The fourth proportional to 76,753.41, 105,891.62 and 46,516.92 is: 64,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.41 : 105,891.62 = 46,516.92 : x
  2. Step 2: Convert to fraction form
    76,753.41/105,891.62 = 46,516.92/x
  3. Step 3: Cross multiply
    76,753.41x = 105,891.62 × 46,516.92
  4. Step 4: Simplify right side
    76,753.41x = 4,925,751,783.63
  5. Step 5: Solve for x
    x = 4,925,751,783.63/76,753.41
  6. Step 6: Final answer
    x = 64,176.32

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1.5x scale

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.