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Finding the Fourth Proportional to 35,387.76, 53,086.89 and 11,697.81

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Solution

The fourth proportional to 35,387.76, 53,086.89 and 11,697.81 is: 17,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,387.76 : 53,086.89 = 11,697.81 : x
  2. Step 2: Convert to fraction form
    35,387.76/53,086.89 = 11,697.81/x
  3. Step 3: Cross multiply
    35,387.76x = 53,086.89 × 11,697.81
  4. Step 4: Simplify right side
    35,387.76x = 621,000,352.71
  5. Step 5: Solve for x
    x = 621,000,352.71/35,387.76
  6. Step 6: Final answer
    x = 17,548.45

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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.