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Finding the Fourth Proportional to 35,681.33, 53,522 and 14,890.25

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Solution

The fourth proportional to 35,681.33, 53,522 and 14,890.25 is: 22,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,681.33 : 53,522 = 14,890.25 : x
  2. Step 2: Convert to fraction form
    35,681.33/53,522 = 14,890.25/x
  3. Step 3: Cross multiply
    35,681.33x = 53,522 × 14,890.25
  4. Step 4: Simplify right side
    35,681.33x = 796,955,960.50
  5. Step 5: Solve for x
    x = 796,955,960.50/35,681.33
  6. Step 6: Final answer
    x = 22,335.38

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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.