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Finding the Fourth Proportional to 47,191.47, 70,830.96 and 23,834.31

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Solution

The fourth proportional to 47,191.47, 70,830.96 and 23,834.31 is: 35,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,191.47 : 70,830.96 = 23,834.31 : x
  2. Step 2: Convert to fraction form
    47,191.47/70,830.96 = 23,834.31/x
  3. Step 3: Cross multiply
    47,191.47x = 70,830.96 × 23,834.31
  4. Step 4: Simplify right side
    47,191.47x = 1,688,207,058.24
  5. Step 5: Solve for x
    x = 1,688,207,058.24/47,191.47
  6. Step 6: Final answer
    x = 35,773.56

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1.5x scale

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.