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Finding the Fourth Proportional to 35,405.80, 53,121 and 15,698.19

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Solution

The fourth proportional to 35,405.80, 53,121 and 15,698.19 is: 23,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,405.80 : 53,121 = 15,698.19 : x
  2. Step 2: Convert to fraction form
    35,405.80/53,121 = 15,698.19/x
  3. Step 3: Cross multiply
    35,405.80x = 53,121 × 15,698.19
  4. Step 4: Simplify right side
    35,405.80x = 833,903,550.99
  5. Step 5: Solve for x
    x = 833,903,550.99/35,405.80
  6. Step 6: Final answer
    x = 23,552.74

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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.