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Finding the Fourth Proportional to 51,610, 71,237 and 33,707.76

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Solution

The fourth proportional to 51,610, 71,237 and 33,707.76 is: 46,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,610 : 71,237 = 33,707.76 : x
  2. Step 2: Convert to fraction form
    51,610/71,237 = 33,707.76/x
  3. Step 3: Cross multiply
    51,610x = 71,237 × 33,707.76
  4. Step 4: Simplify right side
    51,610x = 2,401,239,699.12
  5. Step 5: Solve for x
    x = 2,401,239,699.12/51,610
  6. Step 6: Final answer
    x = 46,526.64

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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.