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Finding the Fourth Proportional to 76,895.74, 106,123.46 and 46,674.14

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Solution

The fourth proportional to 76,895.74, 106,123.46 and 46,674.14 is: 64,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,895.74 : 106,123.46 = 46,674.14 : x
  2. Step 2: Convert to fraction form
    76,895.74/106,123.46 = 46,674.14/x
  3. Step 3: Cross multiply
    76,895.74x = 106,123.46 × 46,674.14
  4. Step 4: Simplify right side
    76,895.74x = 4,953,220,465.34
  5. Step 5: Solve for x
    x = 4,953,220,465.34/76,895.74
  6. Step 6: Final answer
    x = 64,414.76

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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.