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Finding the Fourth Proportional to 70,114.06, 96,756.67 and 38,282.86

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Solution

The fourth proportional to 70,114.06, 96,756.67 and 38,282.86 is: 52,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,114.06 : 96,756.67 = 38,282.86 : x
  2. Step 2: Convert to fraction form
    70,114.06/96,756.67 = 38,282.86/x
  3. Step 3: Cross multiply
    70,114.06x = 96,756.67 × 38,282.86
  4. Step 4: Simplify right side
    70,114.06x = 3,704,122,051.68
  5. Step 5: Solve for x
    x = 3,704,122,051.68/70,114.06
  6. Step 6: Final answer
    x = 52,829.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.