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Finding the Fourth Proportional to 47,703.88, 71,588.63 and 16,539.13

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Solution

The fourth proportional to 47,703.88, 71,588.63 and 16,539.13 is: 24,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.88 : 71,588.63 = 16,539.13 : x
  2. Step 2: Convert to fraction form
    47,703.88/71,588.63 = 16,539.13/x
  3. Step 3: Cross multiply
    47,703.88x = 71,588.63 × 16,539.13
  4. Step 4: Simplify right side
    47,703.88x = 1,184,013,658.09
  5. Step 5: Solve for x
    x = 1,184,013,658.09/47,703.88
  6. Step 6: Final answer
    x = 24,820.07

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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.