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Finding the Fourth Proportional to 35,332, 53,022.30 and 14,555.50

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Solution

The fourth proportional to 35,332, 53,022.30 and 14,555.50 is: 21,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,332 : 53,022.30 = 14,555.50 : x
  2. Step 2: Convert to fraction form
    35,332/53,022.30 = 14,555.50/x
  3. Step 3: Cross multiply
    35,332x = 53,022.30 × 14,555.50
  4. Step 4: Simplify right side
    35,332x = 771,766,087.65
  5. Step 5: Solve for x
    x = 771,766,087.65/35,332
  6. Step 6: Final answer
    x = 21,843.26

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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.