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Finding the Fourth Proportional to 35,457.71, 53,194.34 and 10,499.70

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Solution

The fourth proportional to 35,457.71, 53,194.34 and 10,499.70 is: 15,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,457.71 : 53,194.34 = 10,499.70 : x
  2. Step 2: Convert to fraction form
    35,457.71/53,194.34 = 10,499.70/x
  3. Step 3: Cross multiply
    35,457.71x = 53,194.34 × 10,499.70
  4. Step 4: Simplify right side
    35,457.71x = 558,524,559.20
  5. Step 5: Solve for x
    x = 558,524,559.20/35,457.71
  6. Step 6: Final answer
    x = 15,751.85

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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.