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Finding the Fourth Proportional to 47,282.34, 70,928.07 and 15,685.68

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Solution

The fourth proportional to 47,282.34, 70,928.07 and 15,685.68 is: 23,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282.34 : 70,928.07 = 15,685.68 : x
  2. Step 2: Convert to fraction form
    47,282.34/70,928.07 = 15,685.68/x
  3. Step 3: Cross multiply
    47,282.34x = 70,928.07 × 15,685.68
  4. Step 4: Simplify right side
    47,282.34x = 1,112,555,009.04
  5. Step 5: Solve for x
    x = 1,112,555,009.04/47,282.34
  6. Step 6: Final answer
    x = 23,530.03

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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.