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Finding the Fourth Proportional to 96,953.94, 145,327.14 and 46,965.42

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Solution

The fourth proportional to 96,953.94, 145,327.14 and 46,965.42 is: 70,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,953.94 : 145,327.14 = 46,965.42 : x
  2. Step 2: Convert to fraction form
    96,953.94/145,327.14 = 46,965.42/x
  3. Step 3: Cross multiply
    96,953.94x = 145,327.14 × 46,965.42
  4. Step 4: Simplify right side
    96,953.94x = 6,825,350,167.50
  5. Step 5: Solve for x
    x = 6,825,350,167.50/96,953.94
  6. Step 6: Final answer
    x = 70,397.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.