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Finding the Fourth Proportional to 47,656.99, 71,486.00 and 14,377.34

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Solution

The fourth proportional to 47,656.99, 71,486.00 and 14,377.34 is: 21,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.99 : 71,486.00 = 14,377.34 : x
  2. Step 2: Convert to fraction form
    47,656.99/71,486.00 = 14,377.34/x
  3. Step 3: Cross multiply
    47,656.99x = 71,486.00 × 14,377.34
  4. Step 4: Simplify right side
    47,656.99x = 1,027,778,455.35
  5. Step 5: Solve for x
    x = 1,027,778,455.35/47,656.99
  6. Step 6: Final answer
    x = 21,566.17

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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.