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Finding the Fourth Proportional to 76,602.24, 105,711.84 and 46,794.24

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Solution

The fourth proportional to 76,602.24, 105,711.84 and 46,794.24 is: 64,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602.24 : 105,711.84 = 46,794.24 : x
  2. Step 2: Convert to fraction form
    76,602.24/105,711.84 = 46,794.24/x
  3. Step 3: Cross multiply
    76,602.24x = 105,711.84 × 46,794.24
  4. Step 4: Simplify right side
    76,602.24x = 4,946,705,211.80
  5. Step 5: Solve for x
    x = 4,946,705,211.80/76,602.24
  6. Step 6: Final answer
    x = 64,576.51

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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.