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Finding the Fourth Proportional to 83,050.02, 114,615.18 and 47,251.56

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Solution

The fourth proportional to 83,050.02, 114,615.18 and 47,251.56 is: 65,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,050.02 : 114,615.18 = 47,251.56 : x
  2. Step 2: Convert to fraction form
    83,050.02/114,615.18 = 47,251.56/x
  3. Step 3: Cross multiply
    83,050.02x = 114,615.18 × 47,251.56
  4. Step 4: Simplify right side
    83,050.02x = 5,415,746,054.68
  5. Step 5: Solve for x
    x = 5,415,746,054.68/83,050.02
  6. Step 6: Final answer
    x = 65,210.65

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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.