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Finding the Fourth Proportional to 47,130.86, 70,696.30 and 29,613

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Solution

The fourth proportional to 47,130.86, 70,696.30 and 29,613 is: 44,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,130.86 : 70,696.30 = 29,613 : x
  2. Step 2: Convert to fraction form
    47,130.86/70,696.30 = 29,613/x
  3. Step 3: Cross multiply
    47,130.86x = 70,696.30 × 29,613
  4. Step 4: Simplify right side
    47,130.86x = 2,093,529,531.90
  5. Step 5: Solve for x
    x = 2,093,529,531.90/47,130.86
  6. Step 6: Final answer
    x = 44,419.51

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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.