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Finding the Fourth Proportional to 47,305.89, 70,941.47 and 15,710.22

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Solution

The fourth proportional to 47,305.89, 70,941.47 and 15,710.22 is: 23,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.89 : 70,941.47 = 15,710.22 : x
  2. Step 2: Convert to fraction form
    47,305.89/70,941.47 = 15,710.22/x
  3. Step 3: Cross multiply
    47,305.89x = 70,941.47 × 15,710.22
  4. Step 4: Simplify right side
    47,305.89x = 1,114,506,022.27
  5. Step 5: Solve for x
    x = 1,114,506,022.27/47,305.89
  6. Step 6: Final answer
    x = 23,559.56

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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.