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Finding the Fourth Proportional to 96,412.42, 144,712.14 and 46,527.63

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Solution

The fourth proportional to 96,412.42, 144,712.14 and 46,527.63 is: 69,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.42 : 144,712.14 = 46,527.63 : x
  2. Step 2: Convert to fraction form
    96,412.42/144,712.14 = 46,527.63/x
  3. Step 3: Cross multiply
    96,412.42x = 144,712.14 × 46,527.63
  4. Step 4: Simplify right side
    96,412.42x = 6,733,112,906.43
  5. Step 5: Solve for x
    x = 6,733,112,906.43/96,412.42
  6. Step 6: Final answer
    x = 69,836.57

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1.5x scale

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.