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Finding the Fourth Proportional to 35,498.56, 53,216.16 and 14,708.80

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Solution

The fourth proportional to 35,498.56, 53,216.16 and 14,708.80 is: 22,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498.56 : 53,216.16 = 14,708.80 : x
  2. Step 2: Convert to fraction form
    35,498.56/53,216.16 = 14,708.80/x
  3. Step 3: Cross multiply
    35,498.56x = 53,216.16 × 14,708.80
  4. Step 4: Simplify right side
    35,498.56x = 782,745,854.21
  5. Step 5: Solve for x
    x = 782,745,854.21/35,498.56
  6. Step 6: Final answer
    x = 22,050.07

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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.