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Finding the Fourth Proportional to 47,613.09, 71,420.64 and 16,024.11

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Solution

The fourth proportional to 47,613.09, 71,420.64 and 16,024.11 is: 24,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,613.09 : 71,420.64 = 16,024.11 : x
  2. Step 2: Convert to fraction form
    47,613.09/71,420.64 = 16,024.11/x
  3. Step 3: Cross multiply
    47,613.09x = 71,420.64 × 16,024.11
  4. Step 4: Simplify right side
    47,613.09x = 1,144,452,191.63
  5. Step 5: Solve for x
    x = 1,144,452,191.63/47,613.09
  6. Step 6: Final answer
    x = 24,036.50

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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.