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Finding the Fourth Proportional to 47,161.71, 70,751.81 and 15,570.50

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Solution

The fourth proportional to 47,161.71, 70,751.81 and 15,570.50 is: 23,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,161.71 : 70,751.81 = 15,570.50 : x
  2. Step 2: Convert to fraction form
    47,161.71/70,751.81 = 15,570.50/x
  3. Step 3: Cross multiply
    47,161.71x = 70,751.81 × 15,570.50
  4. Step 4: Simplify right side
    47,161.71x = 1,101,640,742.77
  5. Step 5: Solve for x
    x = 1,101,640,742.77/47,161.71
  6. Step 6: Final answer
    x = 23,358.80

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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.