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Finding the Fourth Proportional to 71,208.61, 106,905.26 and 47,666.77

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Solution

The fourth proportional to 71,208.61, 106,905.26 and 47,666.77 is: 71,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208.61 : 106,905.26 = 47,666.77 : x
  2. Step 2: Convert to fraction form
    71,208.61/106,905.26 = 47,666.77/x
  3. Step 3: Cross multiply
    71,208.61x = 106,905.26 × 47,666.77
  4. Step 4: Simplify right side
    71,208.61x = 5,095,828,440.21
  5. Step 5: Solve for x
    x = 5,095,828,440.21/71,208.61
  6. Step 6: Final answer
    x = 71,561.97

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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.