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Finding the Fourth Proportional to 71,564.99, 98,762.76 and 39,733.88

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Solution

The fourth proportional to 71,564.99, 98,762.76 and 39,733.88 is: 54,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.99 : 98,762.76 = 39,733.88 : x
  2. Step 2: Convert to fraction form
    71,564.99/98,762.76 = 39,733.88/x
  3. Step 3: Cross multiply
    71,564.99x = 98,762.76 × 39,733.88
  4. Step 4: Simplify right side
    71,564.99x = 3,924,227,160.50
  5. Step 5: Solve for x
    x = 3,924,227,160.50/71,564.99
  6. Step 6: Final answer
    x = 54,834.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.