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Finding the Fourth Proportional to 47,509.50, 71,271.54 and 34,460.40

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Solution

The fourth proportional to 47,509.50, 71,271.54 and 34,460.40 is: 51,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.50 : 71,271.54 = 34,460.40 : x
  2. Step 2: Convert to fraction form
    47,509.50/71,271.54 = 34,460.40/x
  3. Step 3: Cross multiply
    47,509.50x = 71,271.54 × 34,460.40
  4. Step 4: Simplify right side
    47,509.50x = 2,456,045,777.02
  5. Step 5: Solve for x
    x = 2,456,045,777.02/47,509.50
  6. Step 6: Final answer
    x = 51,695.89

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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.