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Finding the Fourth Proportional to 51,762.84, 71,416.26 and 30,242.76

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Solution

The fourth proportional to 51,762.84, 71,416.26 and 30,242.76 is: 41,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.84 : 71,416.26 = 30,242.76 : x
  2. Step 2: Convert to fraction form
    51,762.84/71,416.26 = 30,242.76/x
  3. Step 3: Cross multiply
    51,762.84x = 71,416.26 × 30,242.76
  4. Step 4: Simplify right side
    51,762.84x = 2,159,824,811.28
  5. Step 5: Solve for x
    x = 2,159,824,811.28/51,762.84
  6. Step 6: Final answer
    x = 41,725.39

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